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On the stable rank of simple C*-algebras
Author(s):
Jesper
Villadsen
Journal:
J. Amer. Math. Soc.
12
(1999),
1091-1102.
MSC (1991):
Primary 46L05;
Secondary 46L80, 46M20
Posted:
June 15, 1999
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Abstract:
It is shown that there exists a simple, finite C*-algebra whose topological (or Bass) stable rank is any given natural number or  .
References:
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Additional Information:
Jesper
Villadsen
Affiliation:
Department of Mathematics, Aarhus University, 8000 Å{}rhus 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
DOI:
10.1090/S0894-0347-99-00314-8
PII:
S 0894-0347(99)00314-8
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
Posted:
June 15, 1999
Copyright of article:
Copyright
1999,
American Mathematical Society
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