Partial tensor-product functors and crossed-product functors
Operator Algebras
2022-02-18 v2
Abstract
For a given discrete group , we apply results of Kirchberg on exact and injective tensor products of -algebras to give an explicit description of the minimal exact correspondence crossed-product functor and the maximal injective crossed-product functor for in the sense of Buss, Echterhoff and Willett. In particular, we show that the former functor dominates the latter.
Cite
@article{arxiv.2112.04164,
title = {Partial tensor-product functors and crossed-product functors},
author = {Julian Kranz and Timo Siebenand},
journal= {arXiv preprint arXiv:2112.04164},
year = {2022}
}
Comments
9 pages, minor corrections. To appear in Proc. Amer. Math. Soc