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

Abstract

In this mostly expository note, we revisit the Künneth theorem in $K$-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.

11 pages

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