The connected stable rank

of the purely infinite simple -algebras

Author:
Yifeng Xue

Journal:
Proc. Amer. Math. Soc. **127** (1999), 3671-3676

MSC (1991):
Primary 46L05

DOI:
https://doi.org/10.1090/S0002-9939-99-05397-6

Published electronically:
July 12, 1999

MathSciNet review:
1670439

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Abstract | References | Similar Articles | Additional Information

Abstract: Suppose that is a unital purely infinite simple -algebra. If the class [1] of the unit 1 in has torsion, then ; if [1] is torsion-free in , then . If is a non-unital purely infinite simple -algebra, then .

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Additional Information

**Yifeng Xue**

Affiliation:
Institute of Fundamental Education, East China University of Science and Technology, Shanghai 200237, People’s Republic of China

Address at time of publication:
Department of Mathematics, East China University of Science and Technology, Shanghai 200237, People’s Republic of China

DOI:
https://doi.org/10.1090/S0002-9939-99-05397-6

Keywords:
Purely infinite simple $C^*$-algebras,
connected stable rank,
$K$-group of the $C^*$-algebras.

Received by editor(s):
August 1, 1997

Received by editor(s) in revised form:
February 24, 1998

Published electronically:
July 12, 1999

Communicated by:
David R. Larson

Article copyright:
© Copyright 1999
American Mathematical Society