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arXiv · 1207.6923

The K-theory of some reduced inverse semigroup C*-algebras

Magnus Dahler Norling
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Abstract

We use a recent result by Cuntz, Echterhoff and Li about the K-theory of certain reduced C*-crossed products to describe the K-theory of C*_r(S) when S is an inverse semigroup satisfying certain requirements. A result of Milan and Steinberg allows us to show that C*_r(S) is Morita equivalent to a crossed product of the type handled by Cuntz, Echterhoff and Li. We apply our result to graph inverse semigroups and the inverse semigroups of one-dimensional tilings.

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Magnus Dahler Norling. 2013-03-15. The K-theory of some reduced inverse semigroup C*-algebras. https://arxiv.org/abs/1207.6923

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