1 code implementation • 24 May 2012 • Joachim Cuntz, Siegfried Echterhoff, Xin Li
Let P be a semigroup that admits an embedding into a group G. Assume that the embedding satisfies a certain Toeplitz condition and that the Baum-Connes conjecture holds for G. We prove a formula describing the K- theory of the reduced crossed product A \rtimes{\alpha}, r P by any automorphic action of P. This formula is obtained as a consequence of a result on the K-theory of crossed products for special actions of G on totally disconnected spaces.
Operator Algebras Dynamical Systems K-Theory and Homology 46L05, 46L80 (Primary) 20Mxx, 11R04 (Secondary)