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Søren Eilers' Research Homepage

Publication list

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1 A complete invariant for AD algebras with real rank zero and bounded torsion in K₁.
Journal of Functional Analysis 139 (1996), 325-348.
2 Künneth splittings and classification of C*-algebras with finitely many ideals.
Fields Institute Communication Series volume 13, Operator Algebras and their Applications, American Mathematical Society, 1997.
3 Morita equivalence for generalized crossed products.
With B. Abadie and R. Exel.
Transactions of the American Mathematical Society 350 (1998), 3043-3054.
4 Quasidiagonal extensions and AF algebras.
With T.A. Loring and G.K. Pedersen.
Mathematische Annalen 311 (1998), 233-249.
5 Stability of anticommutation relations. An application of noncommutative CW complexes.
With T.A. Loring and G.K. Pedersen.
Journal für die reine und angewandte Mathematik 499 (1998), 101-143.
6 Compressing coefficients while preserving ideals in the K-theory for C*-algebras.
With M. Dadarlat.
K-Theory 14 (1998), 281-304.
7 Noncommutative end theory.
With C.A. Akemann.
Pacific Journal of Mathematics, 185 (1998), 47-88
8 Approximate homogeneity is not a local property.
With M. Dadarlat.
Journal für die reine und angewandte Mathematik 507 (1999), 1-14.
9 Fragility of subhomogeneous C*-algebras with one-dimensional spectrum.
With T.A. Loring and G.K. Pedersen.
Bulletin of the London Mathematical Society 31 (1999), 337-344.
10 Connectivity and components for C*-algebras.
Mathematica Scandinavica 84 (1999), 119-136.
11 Computing contingencies for stable relations.
With T.A. Loring.
International Journal of Mathematics 10 (1999), 301-326.
12 The Bockstein map is necessary.
With M. Dadarlat.
Canadian Bulletin of Mathematics 42 (1999), 274-284.
13 Morphisms of extensions of C*-algebras: Pushing forward the Busby invariant.
With T.A. Loring and G.K. Pedersen.
Advances of Mathematics 147 (1999), 74-109.
14 Asymptotic unitary equivalence in KK-theory.
With M. Dadarlat.
K-Theory 23 (2001), 305-322.
15 Approximate homogeneity of C*-algebras with finitely many ideals.
Mathematical Proceedings of the Royal Irish Society 101A (2001), 149-162.
16 Finite dimensional representations of the soft torus.
With R. Exel.
Proceedings of the American Mathematical Society 130 (2002), 727-731
17 On the classification of nuclear C*-algebras.
With M. Dadarlat.
Proceedings of the London Mathematical Society, 85 (2002), 168-210.
18 Regularity of projections revisited.
With C.A. Akemann
Journal of Operator Theory 48 (2002), 515-534.
19 Riesz properties of K-groups associated to C*-algebras of minimal ranks.
With G.A. Elliott.
Comptes Rendus Mathématiques de l'Académie des Sciences (La Société Royale du Canada) 25 (2003), 108-13.
20 Augmenting dimension group invariants for substitutional dynamical systems.
With T.M. Carlsen.
Ergodic theory and Dynamical Systems 24 (2004), 1015-1039.
21 Matsumoto K-groups associated to certain shift spaces.
With T.M. Carlsen.
Documenta Mathematica 9 (2004), 639-671.
22 C*-algebras associated to dynamical systems
Discrete and continuous dynamical systems 15 (2006) 177-192.
23 Ordered K-groups associated to substitutional dynamics.
With T.M. Carlsen.
Journal of Functional Analysis 38 (2006) 99-117.
24 On Rørdam's classification of certain C*-algebras with one non-trivial ideal
With G. Restorff
In "Operator algebras: The Abel symposium 2004", Abel Symposia 1 (2006), 87-96
25 Dimension groups associated to beta-expansions
With T. Bates and T.M. Carlsen
Mathematica Scandinavica 100 (2007), 198-208.
26 A graph approach to computing nondeterminacy in substitutional dynamical systems.
With T.M. Carlsen.
RAIRO - Theoretical Informatics and Applications 41 (2007) 285-306.
27 Inductive limits of K-theoretic complexes with torsion coefficients
With A. Toms
Journal of K-Theory 1 (2008), 145-168.
28 Classification of extensions of classifiable C*-algebras
With G. Restorff and E. Ruiz
Advances of Mathematics 222 (2009) 2153-2172.
29 On the classification of nonsimple graph C*-algebras
With M. Tomforde.
Mathematische Annalen 346 (2010), 393-418.
30 On graph C*-algebras with a linear ideal lattice
With G. Restorff and E. Ruiz
Bulletin of the Malaysian Mathematical Sciences Society (2) 33 (2010), 233-241.
31 Enumeration of pyramids of one-dimensional pieces of arbitrary fixed integer length.
With B. Durhuus.
Discrete Mathematics and Computer Science proc. AM (2010), 145-160.
32 Nonsplitting of Bonkat's Universal Coefficient Theorem
With G. Restorff and E. Ruiz.
Canadian Mathematical Bulletin 54 (2011), 68-81.
33 On the asymptotic growth of LEGO structures
With M. Abrahamsen
Experimental Mathematics 20 (2011) 145-152.
34 Reducibility of covers of AFT shifts
With T. Bates and D. Pask.
Israel Journal of Mathematics 185 (2011), 207-234 .
35 On some new invariants for strong shift equivalence for shifts of finite type
With I. Kiming.
Journal of Number Theory 132 (2012), 502-510.
36 Index maps in the K-theory of graph algebras
With T.M. Carlsen and M. Tomforde.
Journal of K-theory 9(2012), 385-406.
37 Amplified graph C*-algebras
With E. Ruiz and A. Sørensen.
Münster Journal of Mathematics 5 (2012), 1211-150.
38 Classifying C*-algebras with both finite and infinite subquotients
With G. Restorff and E. Ruiz.
Journal of Functional Analysis 265 (2013), 449-468.
39 Classification of graph C*-algebras with no more than four primitive ideals
With G. Restorff and E. Ruiz
Operator Algebra and Dynamics, Springer Proceedings in Mathematics and Statistics 58 (2013) 89-129
40 The ordered K-theory of a full extension
With G. Restorff and E. Ruiz
Canadian Journal of Mathematics 66 (2014), 596-625.
41 Identifying AF-algebras that are graph C*-algebras
With T. Katsura, E. Ruiz and M. Tomforde.
Journal of Functional Analysis 266 (2014), 3968-3996.
42 On the entropy of LEGO
With B. Durhuus
Journal of Applied Mathematics and Computing 45 (2014), 433-448.
43 The ranges of K-theoretic invariants for nonsimple graph algebras
With T. Katsura, M. Tomforde and J. West.
Transactions of the American Mathematical Society 368 (2016), 3811-3847.
44 Corrigendum to "Classifying C*-algebras with both finite and infinite subquotients" [J. Funct. Anal. 265 (2013) 449-468]
With G. Restorff and E. Ruiz
Journal of Functional Analysis 270 (2016), 854-859.
45 The LEGO counting problem.
American Mathematical Monthly 123 (2016), 415-426.
46 The isomorphism problem for semigroup C*-algebras of right-angled Artin monoids
With X. Li and E. Ruiz.
Documenta Mathematica 21 (2016), 309-343.
47 Ideal-related K-theory with coefficients
With G. Restorff and E. Ruiz
Houston Journal of Mathematics 43 (2017), 403-458.
48 Semiprojectivity and properly infinite projections in graph C*-algebras
With T. Katsura
Advances in Mathematics 317 (2017), 108-156.
49 Flow equivalence and isotopy for subshifts
With M.M. Boyle and T.M. Carlsen.
Dynamical Systems 32 (2017), 305-325.
50 Invariance of the Cuntz splice
With G. Restorff, E. Ruiz, and A.P.W. Sørensen
Mathematische Annalen 369 (2017), 1061-1080.
51 Flow equivalence of sofic shifts
With M.M. Boyle and T.M. Carlsen.
Israel Journal of Mathematics 225 (2018), 111-146.
52 Filtered K-theory for graph algebras
With G. Restorff, E. Ruiz and A.P.W. Sørensen.
In: Wood D., de Gier J., Praeger C., Tao T. (eds) 2016 MATRIX Annals, pp. 229-249. MATRIX Book Series, vol 1. Springer, 2018.
53 Geometric classification of graph C*-algebras over finite graphs
With G. Restorff, E. Ruiz and A.P.W. Sørensen.
Canadian Journal of Mathematics 70 (2018), 294-353.
54 Automorphisms of Cuntz-Krieger algebras
With G. Restorff and E. Ruiz.
Journal of Noncommutative Geometry 12 (2018) 217-254.
55 A dynamical characterization of diagonal preserving *-isomorphisms of graph C*-algebras
With S.E. Arklint and E. Ruiz.
Ergodic Theory and Dynamical Systems 38 (2018), 2401-2421.
56 Flow equivalence and orbit equivalence for shifts of finite type and isomorphism of their groupoids
With T.M. Carlsen, E. Ortega, and G. Restorff
Journal of Mathematical Analysis and its Applications 469 (2019), 1088-1110.
57 Flow equivalence of G-SFTs
With M. Boyle and T.M. Carlsen
Transactions of the American Mathematical Society 373 (2020), 2591-2657.
59 The extension problem for graph C*-algebras
With J. Gabe, T. Katsura, E. Euiz and M. Tomforde
Annals of K-theory 5 (2020), 295-315.
57 C*-stability of discrete groups
With T. Shulman and A.P.W. Sørensen
Advances in Mathematics 373 (2020), in press.
60 Classification of irreversible and reversible Pimsner operator algebras
With S. Geffen and A. Dor-On
Compositio Mathematica, to appear.
61 The complete classification of unital graph C*-algebras: Geometric and strong
With G. Restorff, E. Ruiz, and A.P.W. Sørensen
Duke Mathematical Journal, to appear.

Preprints (not yet accepted/submitted)

1006.1265	Symbolic Dynamics With M.-P. Béal, J. Berstel and D. Perrin.
1301.7695	*Strong classification of extensions of classifiable C-algebras** With With G. Restorff and E. Ruiz
1908.03714	*Refined moves for structure-preserving isomorphism of graph C-algebras** With E. Ruiz
1910.11514	*Geometric classification of isomorphism of unital graph C-algebras** With S.E. Arklint and E. Ruiz
2007.00853	*Amplified graph C-algebras II: reconstruction** With E. Ruiz and A. Sims

Søren Eilers

1	A complete invariant for AD algebras with real rank zero and bounded torsion in K₁. Journal of Functional Analysis 139 (1996), 325-348.
2	*Künneth splittings and classification of C-algebras with finitely many ideals*. Fields Institute Communication Series volume 13, Operator Algebras and their Applications*, American Mathematical Society, 1997.
3	Morita equivalence for generalized crossed products. With B. Abadie and R. Exel. Transactions of the American Mathematical Society 350 (1998), 3043-3054.
4	Quasidiagonal extensions and AF algebras. With T.A. Loring and G.K. Pedersen. Mathematische Annalen 311 (1998), 233-249.
5	Stability of anticommutation relations. An application of noncommutative CW complexes. With T.A. Loring and G.K. Pedersen. Journal für die reine und angewandte Mathematik 499 (1998), 101-143.
6	*Compressing coefficients while preserving ideals in the K-theory for C-algebras*. With M. Dadarlat. K-Theory* 14 (1998), 281-304.
7	Noncommutative end theory. With C.A. Akemann. Pacific Journal of Mathematics, 185 (1998), 47-88
8	Approximate homogeneity is not a local property. With M. Dadarlat. Journal für die reine und angewandte Mathematik 507 (1999), 1-14.
9	*Fragility of subhomogeneous C-algebras with one-dimensional spectrum*. With T.A. Loring and G.K. Pedersen. Bulletin of the London Mathematical Society* 31 (1999), 337-344.
10	*Connectivity and components for C-algebras*. Mathematica Scandinavica* 84 (1999), 119-136.
11	Computing contingencies for stable relations. With T.A. Loring. International Journal of Mathematics 10 (1999), 301-326.
12	The Bockstein map is necessary. With M. Dadarlat. Canadian Bulletin of Mathematics 42 (1999), 274-284.
13	*Morphisms of extensions of C-algebras: Pushing forward the Busby invariant*. With T.A. Loring and G.K. Pedersen. Advances of Mathematics* 147 (1999), 74-109.
14	Asymptotic unitary equivalence in KK-theory. With M. Dadarlat. K-Theory 23 (2001), 305-322.
15	*Approximate homogeneity of C-algebras with finitely many ideals*. Mathematical Proceedings of the Royal Irish Society* 101A (2001), 149-162.
16	Finite dimensional representations of the soft torus. With R. Exel. Proceedings of the American Mathematical Society 130 (2002), 727-731
17	*On the classification of nuclear C-algebras*. With M. Dadarlat. Proceedings of the London Mathematical Society*, 85 (2002), 168-210.
18	Regularity of projections revisited. With C.A. Akemann Journal of Operator Theory 48 (2002), 515-534.
19	*Riesz properties of K-groups associated to C-algebras of minimal ranks.** With G.A. Elliott. Comptes Rendus Mathématiques de l'Académie des Sciences (La Société Royale du Canada) 25 (2003), 108-13.
20	Augmenting dimension group invariants for substitutional dynamical systems. With T.M. Carlsen. Ergodic theory and Dynamical Systems 24 (2004), 1015-1039.
21	Matsumoto K-groups associated to certain shift spaces. With T.M. Carlsen. Documenta Mathematica 9 (2004), 639-671.
22	*C-algebras associated to dynamical systems** Discrete and continuous dynamical systems 15 (2006) 177-192.
23	Ordered K-groups associated to substitutional dynamics. With T.M. Carlsen. Journal of Functional Analysis 38 (2006) 99-117.
24	*On Rørdam's classification of certain C-algebras with one non-trivial ideal** With G. Restorff In "Operator algebras: The Abel symposium 2004", Abel Symposia 1 (2006), 87-96
25	Dimension groups associated to beta-expansions With T. Bates and T.M. Carlsen Mathematica Scandinavica 100 (2007), 198-208.
26	A graph approach to computing nondeterminacy in substitutional dynamical systems. With T.M. Carlsen. RAIRO - Theoretical Informatics and Applications 41 (2007) 285-306.
27	Inductive limits of K-theoretic complexes with torsion coefficients With A. Toms Journal of K-Theory 1 (2008), 145-168.
28	*Classification of extensions of classifiable C-algebras** With G. Restorff and E. Ruiz Advances of Mathematics 222 (2009) 2153-2172.
29	*On the classification of nonsimple graph C-algebras** With M. Tomforde. Mathematische Annalen 346 (2010), 393-418.
30	*On graph C-algebras with a linear ideal lattice** With G. Restorff and E. Ruiz Bulletin of the Malaysian Mathematical Sciences Society (2) 33 (2010), 233-241.
31	Enumeration of pyramids of one-dimensional pieces of arbitrary fixed integer length. With B. Durhuus. Discrete Mathematics and Computer Science proc. AM (2010), 145-160.
32	Nonsplitting of Bonkat's Universal Coefficient Theorem With G. Restorff and E. Ruiz. Canadian Mathematical Bulletin 54 (2011), 68-81.
33	On the asymptotic growth of LEGO structures With M. Abrahamsen Experimental Mathematics 20 (2011) 145-152.
34	Reducibility of covers of AFT shifts With T. Bates and D. Pask. Israel Journal of Mathematics 185 (2011), 207-234 .
35	On some new invariants for strong shift equivalence for shifts of finite type With I. Kiming. Journal of Number Theory 132 (2012), 502-510.
36	Index maps in the K-theory of graph algebras With T.M. Carlsen and M. Tomforde. Journal of K-theory 9(2012), 385-406.
37	*Amplified graph C-algebras** With E. Ruiz and A. Sørensen. Münster Journal of Mathematics 5 (2012), 1211-150.
38	*Classifying C-algebras with both finite and infinite subquotients** With G. Restorff and E. Ruiz. Journal of Functional Analysis 265 (2013), 449-468.
39	*Classification of graph C-algebras with no more than four primitive ideals** With G. Restorff and E. Ruiz Operator Algebra and Dynamics, Springer Proceedings in Mathematics and Statistics 58 (2013) 89-129
40	The ordered K-theory of a full extension With G. Restorff and E. Ruiz Canadian Journal of Mathematics 66 (2014), 596-625.
41	*Identifying AF-algebras that are graph C-algebras** With T. Katsura, E. Ruiz and M. Tomforde. Journal of Functional Analysis 266 (2014), 3968-3996.
42	On the entropy of LEGO With B. Durhuus Journal of Applied Mathematics and Computing 45 (2014), 433-448.
43	The ranges of K-theoretic invariants for nonsimple graph algebras With T. Katsura, M. Tomforde and J. West. Transactions of the American Mathematical Society 368 (2016), 3811-3847.
44	*Corrigendum to "Classifying C-algebras with both finite and infinite subquotients" [J. Funct. Anal. 265 (2013) 449-468]** With G. Restorff and E. Ruiz Journal of Functional Analysis 270 (2016), 854-859.
45	The LEGO counting problem. American Mathematical Monthly 123 (2016), 415-426.
46	*The isomorphism problem for semigroup C-algebras of right-angled Artin monoids** With X. Li and E. Ruiz. Documenta Mathematica 21 (2016), 309-343.
47	Ideal-related K-theory with coefficients With G. Restorff and E. Ruiz Houston Journal of Mathematics 43 (2017), 403-458.
48	*Semiprojectivity and properly infinite projections in graph C-algebras** With T. Katsura Advances in Mathematics 317 (2017), 108-156.
49	Flow equivalence and isotopy for subshifts With M.M. Boyle and T.M. Carlsen. Dynamical Systems 32 (2017), 305-325.
50	Invariance of the Cuntz splice With G. Restorff, E. Ruiz, and A.P.W. Sørensen Mathematische Annalen 369 (2017), 1061-1080.
51	Flow equivalence of sofic shifts With M.M. Boyle and T.M. Carlsen. Israel Journal of Mathematics 225 (2018), 111-146.
52	Filtered K-theory for graph algebras With G. Restorff, E. Ruiz and A.P.W. Sørensen. In: Wood D., de Gier J., Praeger C., Tao T. (eds) 2016 MATRIX Annals, pp. 229-249. MATRIX Book Series, vol 1. Springer, 2018.
53	*Geometric classification of graph C-algebras over finite graphs** With G. Restorff, E. Ruiz and A.P.W. Sørensen. Canadian Journal of Mathematics 70 (2018), 294-353.
54	Automorphisms of Cuntz-Krieger algebras With G. Restorff and E. Ruiz. Journal of Noncommutative Geometry 12 (2018) 217-254.
55	*A dynamical characterization of diagonal preserving -isomorphisms of graph C-algebras* With S.E. Arklint and E. Ruiz. Ergodic Theory and Dynamical Systems 38 (2018), 2401-2421.
56	Flow equivalence and orbit equivalence for shifts of finite type and isomorphism of their groupoids With T.M. Carlsen, E. Ortega, and G. Restorff Journal of Mathematical Analysis and its Applications 469 (2019), 1088-1110.
57	Flow equivalence of G-SFTs With M. Boyle and T.M. Carlsen Transactions of the American Mathematical Society 373 (2020), 2591-2657.
59	*The extension problem for graph C-algebras** With J. Gabe, T. Katsura, E. Euiz and M. Tomforde Annals of K-theory 5 (2020), 295-315.
57	*C-stability of discrete groups** With T. Shulman and A.P.W. Sørensen Advances in Mathematics 373 (2020), in press.
60	Classification of irreversible and reversible Pimsner operator algebras With S. Geffen and A. Dor-On Compositio Mathematica, to appear.
61	*The complete classification of unital graph C-algebras: Geometric and strong** With G. Restorff, E. Ruiz, and A.P.W. Sørensen Duke Mathematical Journal, to appear.