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.References
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Additional Information
- Julian Kranz
- Affiliation: Mathematisches Institut, Fachbereich Mathematik und Informatik der Universität Münster, Einsteinstrasse 62, 48149 Münster, Germany
- MR Author ID: 1478965
- ORCID: 0000-0002-8580-8222
- Email: julian.kranz@uni-muenster.de
- Timo Siebenand
- Affiliation: Mathematisches Institut, Fachbereich Mathematik und Informatik der Universität Münster, Einsteinstrasse 62, 48149 Münster, Germany
- MR Author ID: 1440922
- Email: timo.siebenand@uni-muenster.de
- Received by editor(s): December 25, 2021
- Received by editor(s) in revised form: February 16, 2022
- Published electronically: July 15, 2022
- Additional Notes: Both authors were funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – Project-ID 427320536 – SFB 1442, as well as by Germany’s Excellence Strategy EXC 2044 390685587, Mathematics Münster: Dynamics-Geometry-Structure
- Communicated by: Adrian Iona
- © Copyright 2022 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 150 (2022), 5359-5367
- MSC (2020): Primary 46L55; Secondary 46M15, 46L80
- DOI: https://doi.org/10.1090/proc/16048