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

By J. Cuntz, S. Echterhoff, Xin Li. 2012

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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.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/1b25d795e5a110e83e7993dc0fda4f3c5290361b