Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/132158
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Type: | Journal article |
Title: | A note on crossed products |
Author: | Chojnacki, W. |
Citation: | Expositiones Mathematicae, 2021; 39(1):115-128 |
Publisher: | Elsevier |
Issue Date: | 2021 |
ISSN: | 0723-0869 1878-0792 |
Statement of Responsibility: | Wojciech Chojnacki |
Abstract: | We give an exposition of two fundamental results of the theory of crossed products. One of these states that every regular representation of a reduced crossed product is faithful whenever the underlying Hilbert space representation of the C∗-algebra that together with an automorphism group gives rise to the crossed product is faithful. The other result states that a full and a reduced crossed products coincide whenever their common underlying automorphism group is amenable. |
Keywords: | C∗-dynamical system; Crossed product; Representation; Amenable group |
Rights: | © 2019 Elsevier GmbH. All rights reserved. |
DOI: | 10.1016/j.exmath.2019.08.001 |
Published version: | http://dx.doi.org/10.1016/j.exmath.2019.08.001 |
Appears in Collections: | Aurora harvest 8 Computer Science publications |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.