A finite but not stably finite 𝐶*-algebra

Clarke, N. P.

doi:10.1090/S0002-9939-1986-0813816-7

A finite but not stably finite $C^ \ast$-algebra
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Proc. Amer. Math. Soc. 96 (1986), 85-88 Request permission

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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The operator

-functor and extensions of

-algebras

16

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