Math. Review for Mikael Rørdam

Most of the recent articles below are available as PDF files (just click on the title). In case you cannot download an article, then please email me rordam@math.ku.dk, and I will mail you the article you want.

Click on __arXiv__ below an article to reach its location on the
electronic preprint archive (if available), and click on
__Journal__ to reach the journal version of the article (if
available).

- A Dixmier type averaging property of automorphisms on a C*-algebra..

Preprint November 2022.

arXiv - (with Siegfried Echterhoff) Inclusions of C*-algebras arising from fixed-point algebras.
*Groups, Geometry, and Dynamics*, to appear.

Preprint August 2021. Revised September 2021. Significantly revised November 2021.

arXiv - Irreducible inclusions of simple C*-algebras.
*lâ€™Enseignement Mathematique*, to appear.

Preprint May 2021. Revised July 2021, November 2021.

More about Example 5.11.

arXiv - (with Magdalena Musat) Factorizable maps and traces on the universal free product of matrix algebras.
*Int. Math. Res. Not. IMRN.*,**2021**(2021) Issue 23, 17951-17970.

Preprint March 2019. Revised October 2019.

arXiv - (with Magdalena Musat) Non-closure of quantum correlation matrices and factorizable channels that require infinite dimensional ancilla (with an appendix by Narutaka Ozawa).
*Comm. Math. Phys.*,**375**(2020), no. 3, 1761-1776.

Preprint June 2018. Revised December 2018, March 2019.

arXiv - Fixed-points in the cone of traces on a C*-algebra.
*Transactions Amer. Math. Soc.*,**371**(2019), no. 12, 8879-8906.

Preprint March 2018. Revised December 2018. arXiv - Just-infinite C*-algebras and their invariants.
*Int. Math. Res. Not. IMRN.*,**2019**(2019) no. 12, 3621-3645.

Preprint May 2017. Revised August 2017, November 2017. arXiv - (with Ilijas Farah). Axiomatizability of the stable rank of C*-algebras.
*Münster J. Math***10**(2017), no. 2, 269-275.

Preprint November 2016. Revised January 2017.

arXiv - (with Rostislav Grigorchuk and Magdalena Musat). Just-infinite C*-algebras.
*Commentarii Math. Helvetici***93**(2018), no. 1, 157-201.

Preprint April 2016. Revised March 2017.

arXiv - (with Ilijas Farah, Bradd Hart and Aaron Tikuisis). Relative commutants of strongly self-absorbing C*-algebras.
*Selecta Math. (N.S.)***23**(2017), no. 1, 363-387.

Preprint February 2015. Revised April 2016.

arXiv - (with Eberhard Kirchberg). When central sequence C*-algebras have characters.
*International J. Math.***26**(2015) no. 7, 32 pp.

Preprint September 2014. Revised November 2014 and April 2015.

arXiv - (with Narutaka Ozawa and Yasuhiko Sato). Elementary amenable groups are quasidiagonal.
*Geom. Funct. Anal.***25**(2015), 307-316.

Preprint April 2014. Revised May 2014 and September 2014.

arXiv - (with Hiroki Matui). Universal properties of group actions on locally compact spaces.
*J. Funct. Anal.***268**(2015), 3601-3648.

Preprint December 2013. Revised December 2014.

arXiv - (with Julian Kellerhals and Nicolas Monod). Non-supramenable groups acting on locally compact spaces.
*Doc. Math. J. DMV.***18**(2013), 1597-1626.

Preprint May 2013. Revised June 2013, July 2013 and November 2013.

arXiv - (with Eberhard Kirchberg). Central sequence C*-algebras and tensorial absorption of the Jiang-Su algebra.
*J. Reine Angew. Math.***695**(2014), 175-214.

Preprint September 2012. Revised November 2012 and June 2013.

arXiv - (with Leonel Robert). Divisibility Properties for C*-algebras.
*Proceedings London Math. Soc.*, (3)**106**no. 6 (2013), 1330-1370.

Preprint June 2011. Revised June 2012.

arXiv - (with Eduard Ortega and Hannes Thiel). The Cuntz semigroup and comparison
of open projections.
*J. Funct. Anal.***260**(2011), 3474-3493.

Preprint August 2010. Revised February 2011.

arXiv - (with Adam Sierakowski). Purely infinite C*-algebras arising from crossed products.
*Ergod. Theory & Dynam. Sys.***32**(2012), 273-293.

Preprint June 2010. Revised October 2010.

arXiv - (with Roberto Conti and Wojciech
Szymanski). Endomorphisms of O
_{n}which preserve the canonical UHF-subalgebra.*J. Funct. Anal.***259**(2010), 602-617.

Preprint October 2009. Revised March 2010.

arXiv - (with Francesc Perera and Eduard Ortega). The Corona
Factorization property, Stability, and the Cuntz semigroup of a
C*-algebra.
*Int. Math. Res. Not. IMRN.***2012**(2012), No. 1, 34-66.

Preprint May 2009. Revised January 2011.

arXiv - (with Francesc Perera and Eduard Ortega). The Corona Factorization property and
refinement monoids.
*Transactions Amer. Math. Soc.***363**(2011), no. 9, 4505-4525.

Preprint April 2009. Revised September 2010.

arXiv - (with Marius
Dadarlat). Strongly Self-Absorbing
C*-algebras which contain a nontrivial projection.
*Münster J. Math.***2**(2009), 35-44.

Preprint February 2009.

arXiv - (with Wilhelm Winter). The Jiang-Su algebra
revisited.
*J. Reine Angew. Math.***642**(2010), 129-155.

Preprint January 2008. Revised January 2009.

arXiv - (with Etienne
Blanchard and Randi Rohde). Properly infinite
*C*(*X*)-algebras and K_{1}-injectivity.*J. Noncommutative Geometry***2**(2008), no. 3, 263-282.

Preprint April 2007.

arXiv - (with Ilan Hirshberg
and Wilhelm Winter) C
_{0}(X)-algebras, stability and strongly self-absorbing C*-algebras.*Math. Annalen***339**(2007), 695-732.

Preprint July 2006. Revised October 2006.

arXiv - (with Cornel Pasnicu) Purely infinite
C*-algebras of real rank zero.
*J. Reine Angew. Math.***613**(2007), 51-73.

Preprint June 2006. Revised July 2006.

arXiv - Structure and classification of
C*-algebras. In
*Proceedings of the Internation Congress of Mathematicians*(Madrid 2006), Volume II, EMS Publishing House, Zurich 2006, 1581-1598.

Slides from the talk at the ICM.

Preprint January 2006. Revised April 2006. - (with David Pask, Iain
Raeburn, and
Aidan Sims) Rank-two graphs whose C*-algebras are direct
limits of circle algebras.
*J. Funct. Anal.***239**(2006), 137-178.

Preprint December 2005. Revised March 2006.

arXiv - (with George Elliott) Perturbation of
Hausdorff moment sequences, and an application to the theory of
C*-algebras of real rank zero. In
*Operator Algebras, The Abel Symposium 2004.*Springer Verlag (2006), pp. 97-115.

Preprint February 2005.

arXiv - The stable
and the real rank of
*Z*-absorbing C*-algebras.*International J. Math.*,**15**, No. 10 (2004), 1065-1084.

Preprint July 2004. Revised August 2004.

arXiv - The real rank of certain
simple C*-algebras. Advances in Operator Algebras and Mathematical
Physics. Conference Proceedings. Sinaia, June 26 - July 4, 2003. Theta
Series in Advanced Mathematics (2005), 197-206.

Preprint February 2004. Revised July 2005. - (with Eberhard Kirchberg) Purely
infinite C*-algebras: ideal-preserving zero homotopies.
*Geom. Funct. Anal.*,**15**, No. 2, (2005), 377-415.

Preprint December 2003. Revised July 2004.

Journal arXiv - (with Francesc Perera) AF-embeddings into
C*-algebras of real rank zero.
*J. Funct. Anal.*,**217**No. 1 (2004), 142-170.

Preprint July 2003. Revised August 2003, October 2003, May 2004.

arXiv - A purely infinite AH-algebra and an
application to AF-embeddability.
*Israel J. Math.***141**(2004), 61-82.

Preprint May 2002. Revised September 2003, January 2004.

arXiv - (with Alex Chigogidze
and Alex Karasev) Real rank and squaring mappings for
unital C*-algebras.
*Proceedings AMS***132**(2004), 783-788.

Preprint, January 2002. Revised October 2002.

arXiv Journal - Extensions of stable
C*-algebras,
*Doc. Math. J. DMV.***6**(2001), 241-246.

Preprint July 2001. Revised September 2001.

Journal - A simple C*-algebra with a finite
and an infinite projection.
*Acta Math.***191**(2003), 109-142.

Preprint May 2001. Revised April 2002, August 2002, September 2003.

arXiv Journal - Classification of Nuclear, Simple
C*-algebras. Contained as pp. 1-145 in "Operator Algebras and
Non-Commutative Geometry, Vol VII:
Classification of Nuclear C*-Algebras. Entropy in Operator Algebras"
*Encyclopaedia of Mathematical Sciences***126**. Subseries editors: Joachim Cuntz and Vaughan Jones. Springer Verlag, Heidelberg, 2001.*PDF file above contains only table of contents, preface, and introduction.*

Preprint May 2001

**Website with corrections** - Stable C*-algebras.
*Advanced Studies in Pure Mathematics***38**"Operator Algebras and Applications". Edited by Hideki Kosaki. (2004), 177-199.

Preprint December 2000. Revised July 2001. - (with Eberhard Kirchberg) Infinite non-simple C*-algebras: absorbing the
Cuntz algebra
*O*_{infinity},*Advances in Math***167**, No. 2 (2002), 195-264.

Preprint October 2000. Revised September 2001. - (with Cornel Pasnicu) Tensor products of C*-algebras with the ideal
property,
*J. Funct. Anal.***177**, No. 1, (2000), 130-137.

Preprint January 2000 - (with Flemming Larsen and Niels Jakob Laustsen) An Introduction to
*K*-theory for C*-algebras. 256 pp. London Mathematical Society, Student Text**49**, Cambridge University Press, Cambridge, 2000.*PDF file above contains only table of contents and introduction***Website with corrections** - (with Eberhard Kirchberg) Non-simple purely infinite
C*-algebras,
*American J. Math.***122**, (2000), 637-666. - (with Peter Friis) Approximation with normal operators with
finite spectrum, and an elementary proof of a Brown-Douglas-Fillmore
theorem,
*Pacific J. Math.***199**, No. 2, (2001), 347-366.

Journal - (with Ken Dykema)
Projections in free product C*-algebras,
II,
*Math. Z.***234**, (2000), 103-113.

arXiv Journal - On sums of finite
projections. Operator Algebras and Operator Theory
(ed. L. Ge, H. Lin, and S. Zhang),
*Contemporary Math.***228**, (1998), 327-340. -
Stability of C*-algebras is not a stable property.
*Doc. Math. J. DMV*,**2**, (1997), 375-386.

Journal - (with Jesper Villadsen)
On the ordered
*K*_{0}-groups of universal free product C*-algebras.*K-theory*,**15**, (1998), 307-322.

Journal - (with Jacob Hjelmborg)
On stability of C*-algebras.
*J. Funct. Anal.***155**, No. 1, (1998), 153-171. - The stable rank of
*C**_{red}(*F*_{n}) is one - a survey.*Operator Algebras and Quantum Field Theory*(ed. S. Doplicher, R. Longo, J.E. Roberts, and L. Zsido), International Press (1997), 51-58. - (with Ken Dykema)
Projections in free product C*-algebras.
*Geom. Funct. Anal.***8**, (1998), 1-16.

arXiv - (with Uffe Hagerup and
Ken Dykema) The stable rank of
some reduced free product C*-algebras.
*Duke Math. J.***90**, No. 1 (1997), 95-121.

Erratum.*Duke Math. J.***94**, No. 1 (1998), 213.

arXiv - (with Peter Friis) Almost commuting
self-adjoint matrices - A short proof of Huaxin Lin's theorem.
*J. Reine Angew. Math.***479**, (1996), 121-131. - (with Ken Dykema)
Purely infinite simple C*-algebras arising from free
products.
*Can. J. Math.***50**, No. 2 (1998), 323-341.

arXiv - Classification of extensions of certain infinite simple
C*-algebras by their six term exact sequence in K-theory.
*Math. Ann.***308**, (1997), 93-117. - Classification of certain infinite simple C*-algebras, III.
*Operator Algebras and their Applications, Fields Institute Communication*,**vol. 13**, (1997), 257-282. - (with George Elliott) Classification of certain infinite simple C*-algebras, II.
*Comm. Math. Helvetici***70**, (1995), 615-638. - A short proof of Elliott's theorem: [
*O*_{2}tensor*O*_{2}is isomorphic to*O*_{2}].*C. R. Math. Rep. Acad. Sci. Canada*Vol. XVI, No. 1 (1994), 31-36. - Classification of certain infinite simple C*-algebras.
*J. Funct. Anal.***131**, (1995), 415-458. - Classification of Cuntz-Krieger algebras.
*K-theory***9**, (1995), 31-58. - Classification of inductive limits of Cuntz-algebras.
*J. Reine Angew. Math.***440**, (1993), 175-200. - (with Huaxin Lin)
Extensions of inductive limits of circle algebras.
*J. London Math. Soc.*(2)**51**, (1995), 603-613. - (with Ola Bratteli,
Aki Kishimoto and Erling Størmer)
The crossed product of a UHF-algebra by a shift.
*Ergod. Theory & Dynam. Sys.***13**, (1993), 615-626. - (with Uffe Haagerup)
Perturbation of the rotation C*-algebras and of the Heisenberg commutation
relation.
*Duke Math. J.***77**, No. 3 (1995), 627-656. - (with George Elliott)
The automorphism group of the irrational rotation C*-algebras.
*Comm. Math. Phys.***155**, (1993), 3-26. - (with Wolfgang Lück)
Algebraic K-theory of von Neumann algebras.
*K-theory***7**, (1993), 517-536. - (with Uffe Hagerup)
C*-algebras of unitary rank two.
*J. Operator Theory***30**, (1993), 161-171. - (with Bruce Blackadar
and Marius Dadarlat)
The real rank of inductive limit C*-algebras.
*Math. Scand.***69**, (1991), 211-216. - (with Bruce
Blackadar and Alex Kumjian)
Approximately central matrix units and the structure of non-commutative tori.
*K-theory***6**, (1992), 267-284. - (with Bruce
Blackadar)
Extending states on preordered semigroups and the existence of quasitraces on
C*-algebras.
*J. Algebra***152**, (1992), 240-248. - On the structure of simple C*-algebras tensored with a
UHF-algebra, II.
*J. Funct. Anal.***107**, (1992), 255-269. - (with Nigel Higson)
The Weyl-von Neumann theorem for multipliers of some
AF-algebras.
*Can. J. Math.***43**, No. 2. (1991), 322-330. - Ideals in the multiplier algebra of a stable C*-algebra.
*J. Operator Theory***25**, No. 2 (1991), 283-298. - On the structure of simple C*-algebras tensored with a
UHF-algebra.
*J. Funct. Anal.***100**, (1991), 1-17. - (with George Elliott and Ryszard Nest)
The cyclic homology of algebras with adjoined unit.
*Proc. A.M.S.***113**, No. 2, (1991), 389-395. - (with Ian
Putnam)
The maximum unitary rank of some C*-algebras.
*Math. Scand.***63**, (1988), 297-304. - Advances in the theory of unitary rank and regular
approximation.
*Ann. of Math.***128**, (1988), 153-172.

Last modified: Tue Oct 10 22:58:04 CEST 2006