On the stable rank of simple C*-algebras
Author:
Jesper Villadsen
Journal:
J. Amer. Math. Soc. 12 (1999), 1091-1102
MSC (1991):
Primary 46L05; Secondary 46L80, 46M20
DOI:
https://doi.org/10.1090/S0894-0347-99-00314-8
Published electronically:
June 15, 1999
MathSciNet review:
1691013
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: It is shown that there exists a simple, finite C*-algebra whose topological (or Bass) stable rank is any given natural number or $\infty$.
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Additional Information
Jesper Villadsen
Affiliation:
Department of Mathematics, Aarhus University, 8000 Århus C, Denmark
Address at time of publication:
Institut for Matematik og Datalogi, Odense Universitet, Campusvej 55, 5230 Odense M, Denmark
Email:
jsv@imf.au.dk
Keywords:
Stable rank,
simple C*-algebra,
nonstable K-theory,
real rank
Received by editor(s):
May 18, 1998
Received by editor(s) in revised form:
March 23, 1999
Published electronically:
June 15, 1999
Article copyright:
© Copyright 1999
American Mathematical Society
