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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A finite but not stably finite $ C\sp \ast$-algebra


Author: N. P. Clarke
Journal: Proc. Amer. Math. Soc. 96 (1986), 85-88
MSC: Primary 46L05; Secondary 19K33, 46L80
MathSciNet review: 813816
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Abstract: In E. G. Effros's paper [4] given at the 1980 Kingston Conference of the American Mathematical Society, he stated that "an example of a finite but not stably finite $ {C^*}$-algebra has yet to be found." This paper seeks to give an example of such an algebra by using a simple application of the duality between $ K$ and Ext-theory arising from the work of Brown, Douglas and Fillmore (see, for example, [2 and 3]).


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DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0813816-7
PII: S 0002-9939(1986)0813816-7
Keywords: $ {C^*}$-algebras, finite, stably finite
Article copyright: © Copyright 1986 American Mathematical Society