Partial tensor-product functors and crossed-product functors

Kranz, Julian; Siebenand, Timo

doi:10.1090/proc/16048

Partial tensor-product functors and crossed-product functors
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by Julian Kranz and Timo Siebenand PDF

Proc. Amer. Math. Soc. 150 (2022), 5359-5367 Request permission

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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