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arXiv · 2112.04164

Partial tensor-product functors and crossed-product functors

Julian Kranz·Timo Siebenand
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Abstract

For a given discrete group $G$, we apply results of Kirchberg on exact and injective tensor products of $C^*$-algebras to give an explicit description of the minimal exact correspondence crossed-product functor and the maximal injective crossed-product functor for $G$ in the sense of Buss, Echterhoff and Willett. In particular, we show that the former functor dominates the latter.

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Julian Kranz, Timo Siebenand. 2021-12-08. Partial tensor-product functors and crossed-product functors. https://arxiv.org/abs/2112.04164

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