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arXiv · 1201.4680

On the K-theory of the C*-algebra generated by the left regular representation of an Ore semigroup

Joachim Cuntz·Siegfried Echterhoff·Xin Li
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Abstract

We compute the K-theory of C*-algebras generated by the left regular representation of left Ore semigroups satisfying certain regularity conditions. Our result describes the K-theory of these semigroup C*-algebras in terms of the K-theory for the reduced group C*-algebras of certain groups which are typically easier to handle. Then we apply our result to specific semigroups from algebraic number theory.

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Joachim Cuntz, Siegfried Echterhoff, Xin Li. 2013-05-25. On the K-theory of the C*-algebra generated by the left regular representation of an Ore semigroup. https://arxiv.org/abs/1201.4680

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