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

##### Volume

17

##### Pagination

645 - 687

##### Publisher

##### DOI

10.4171/JEMS/513

##### Journal

Journal of the European Mathematical Society

##### Issue

##### ISSN

1435-9855

##### Metadata

Show full item record##### Abstract

© European Mathematical Society 2015. 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.

##### Authors

Cuntz, J; Echterhoff, S; Li, X##### Collections

- College Publications [4958]