Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Type I $C^*$-algebras of real rank zero


Author: Huaxin Lin
Journal: Proc. Amer. Math. Soc. 125 (1997), 2671-2676
MSC (1991): Primary 46L05
MathSciNet review: 1396987
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We show that a separable $C^*$-algebra $A$ of type I has real rank zero if and only if $d({\hat A})=0,$ where $d$ is a modified dimension. We also show that a separable $C^*$-algebra of type I has real rank zero if and only if it is an AF-algebra.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 46L05

Retrieve articles in all journals with MSC (1991): 46L05


Additional Information

Huaxin Lin
Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403-1222
Email: lin@darkwing.uoregon.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03890-2
PII: S 0002-9939(97)03890-2
Received by editor(s): November 13, 1995
Received by editor(s) in revised form: April 4, 1996
Additional Notes: Research partially supported by NSF grants DMS 93-01082
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1997 American Mathematical Society