A note on the Künneth theorem for nonnuclear C*-algebras

preprint2012arXivOpen access

Abstract

In this mostly expository note, we revisit the Künneth theorem in KK-theory of nonnuclear C*-algebras. We show that, using examples considered by Skandalis, there are algebras satisfying the Künneth theorem for the minimal tensor product but not for the maximal tensor product and vice versa.

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