A stably contractible 𝐶*-algebra which is not contractible

Dadarlat, Marius

doi:10.1090/S0002-9939-2014-12113-7

A stably contractible $C^\ast$-algebra which is not contractible
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Proc. Amer. Math. Soc. 142 (2014), 3217-3220 Request permission

Abstract:

We exhibit a separable commutative $C^\ast$-algebra $A$ such that $A\otimes \mathcal {K}$ is homotopy equivalent to zero, without $M_n(A)$ being so for any $n\geq 1$.

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