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

Joachim CuntzSiegfried EchterhoffXin Li — 2015

Journal of the European Mathematical Society

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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