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Obstructions to 𝒡-Stability for Unital Simple C*-Algebras

Published online by Cambridge University Press:Β  20 November 2018

Guihua Gong ,
Xinhui Jiang  and
Hongbing Su
Guihua Gong
Affiliation:
Mathematics Department, University of Puerto Rico, P.O. Box 23355, San Juan, Puerto Rico 00931, email: ggong@rrpac.upr.clu.edu
Xinhui Jiang
Affiliation:
The Fields Institute, 222 College Street, Toronto, Ontario M5T 3J1, email: jiang@fields.utoronto.ca
Hongbing Su
Affiliation:
The Fields Institute, 222 College Street, Toronto, Ontario M5T 3J1, email: su@fields.utoronto.ca
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Abstract

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Let $\text{Z}$ be the unital simple nuclear infinite dimensional ${{C}^{*}}$-algebra which has the same Elliott invariant as $\mathbb{C}$, introduced in [9]. A ${{C}^{*}}$-algebra is called $\text{Z}$-stable if $A\,\cong \,A\,\otimes \,\text{Z}$. In this note we give some necessary conditions for a unital simple ${{C}^{*}}$-algebra to be $\text{Z}$-stable.

Keywords

46L05simple C*-algebra𝒡-stabilityweak (un)perforation in K0 groupproperty Ξ“finiteness.
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 43 , Issue 4 , 01 December 2000 , pp. 418 - 426
Copyright
Copyright Β© Canadian Mathematical Society 2000

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