K-theory of Bernoulli shifts of finite groups on UHF-Algebras

Julian Kranz, Shintaro Nishikawa

Abstract: We show that the Bernoulli shift and the trivial action of a finite group G on a UHF-algebra of infinite type are $KK^G$-equivalent and that the Bernoulli shift absorbs the trivial action up to conjugacy. As an application, we compute the K-theory of crossed products by approximately inner flips on classifiable $C^*$-algebras.