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arXiv · 1906.00033

K-stability of continuous C(X)-algebras

Apurva Seth·Prahlad Vaidyanathan
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Abstract

A C*-algebra is said to be K-stable if its nonstable K-groups are naturally isomorphic to the usual K-theory groups. We study continuous $C(X)$-algebras, each of whose fibers are K-stable. We show that such an algebra is itself K-stable under the assumption that the underlying space $X$ is compact, metrizable, and of finite covering dimension.

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Apurva Seth, Prahlad Vaidyanathan. 2019-05-31. K-stability of continuous C(X)-algebras. https://doi.org/10.1090/proc/15035

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