Available in electronic format
Available in print format		 Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
Previous issue | Table of contents | Next issue
Articles in press | Recently posted articles | Most recent issue | All issues
Previous Article | Next Article
     

Properties preserved under Morita equivalence of $ \mathbf{C}^*$-algebras

Author(s): Astrid an Huef; Iain Raeburn; Dana P. Williams
Journal: Proc. Amer. Math. Soc. 135 (2007), 1495-1503.
MSC (2000): Primary 46L05
Posted: November 29, 2006
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: We show that important structural properties of $ C^*$-algebras and the multiplicity numbers of representations are preserved under Morita equivalence.

References:

1.
R.J. Archbold, Upper and lower multiplicity for irreducible representations of $ C^*$-algebras, Proc. London Math. Soc. 69 (1994), 121-143. MR 1272423 (95c:46085)

2.
R.J. Archbold and D.W.B. Somerset, Transition probabilities and trace functions for $ C^*$-algebras, Math. Scand. 73 (1993), 81-111. MR 1251700 (95f:46095)

3.
R.J. Archbold, D.W.B. Somerset and J. Spielberg, Upper multiplicity and bounded trace ideals in $ C^*$-algebras, J. Funct. Anal. 146 (1997), 430-463. MR 1451999 (98d:46062)

4.
R.J. Archbold and J. Spielberg, Upper and lower multiplicity for irreducible representations of $ C^*$-algebras. II, J. Operator Theory 36 (1996), 201-231. MR 1432116 (97k:46065)

5.
W. Beer, On Morita equivalence of nuclear $ C^*$-algebras, J. Pure Appl. Algebra 26 (1982), 249-267.MR 0678523 (84d:46096)

6.
J. Dixmier, $ C^*$-Algebras, North-Holland, New York, 1977.MR 0458185 (56:16388)

7.
D. Milicic, On $ C^*$-algebras with bounded trace, Glasnik Mat. Ser. III 8(28) (1973), 7-22. MR 0324429 (48:2781)

8.
G.K. Pedersen, Measure theory for $ C^*$-algebras III, Math. Scand. 25 (1969), 71-93. MR 0259627 (41:4263)

9.
G.K. Pedersen, $ C^*$-Algebras and their Automorphism Groups, Academic Press, London, 1979. MR 0548006 (81e:46037)

10.
G.K. Pedersen, Analysis Now, Graduate Texts in Math., vol. 118, Springer-Verlag, New York, 1989. MR 0971256 (90f:46001)

11.
F. Perdrizet, Topologie et traces sur les $ C^*$-algèbres, Bull. Soc. Math. France 99 (1971), 193-239.MR 0293409 (45:2486)

12.
I. Raeburn and D.P. Williams, Morita Equivalence and Continuous-Trace $ C^*$-Algebras, Math. Surveys and Monographs, vol. 60, Amer. Math. Soc., Providence, 1998. MR 1634408 (2000c:46108)

13.
H.H. Zettl, Strong Morita equivalence of $ C^*$-algebras preserves nuclearity, Arch. Math. (Basel) 38 (1982), 448-452. MR 0666919 (84b:46070)

14.
H.H. Zettl, Ideals in Hilbert modules and invariants under strong Morita equivalence of $ C^*$-algebras, Arch. Math. (Basel) 39 (1982), 69-77. MR 0674535 (84i:46060)

Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46L05

Retrieve articles in all Journals with MSC (2000): 46L05

Additional Information:

Astrid an Huef
Affiliation: School of Mathematics, The University of New South Wales, NSW 2052, Australia
Email: astrid@unsw.edu.au

Iain Raeburn
Affiliation: School of Mathematical and Physical Sciences, University of Newcastle, NSW 2308, Australia
Email: iain.raeburn@newcastle.edu.au

Dana P. Williams
Affiliation: Department of Mathematics, Dartmouth College, Hanover, New Hampshire 03755
Email: dana.williams@dartmouth.edu

DOI: 10.1090/S0002-9939-06-08625-4
PII: S 0002-9939(06)08625-4
Received by editor(s): December 1, 2005
Received by editor(s) in revised form: January 3, 2006
Posted: November 29, 2006
Additional Notes: This research was supported by the Australian Research Council, the National Science Foundation, the Ed Shapiro Fund at Dartmouth College and the University of New South Wales.
Communicated by: Joseph A. Ball
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

  AMS Website Logo Small Comments: webmaster@ams.org
© Copyright 2009, American Mathematical Society
Privacy Statement 		Search the AMSPowered by Google