Larsen, N. S. and Li, X. (2013) Dilations of semigroup crossed products as crossed products of dilations. Proceedings of the American Mathematical Society, 141(5), pp. 1597-1603. (doi: 10.1090/S0002-9939-2013-11475-9)
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Abstract
Laca constructed a minimal automorphic dilation for every semigroup dynamical system arising from an action of an Ore semigroup by injective endomorphisms of a unital C*-algebra. Here we show that the semigroup crossed product with its action by inner endomorphisms given by the implementing isometries has as minimal automorphic dilation the group crossed product of the original dilation. Applications include recent examples studied by Cuntz and the second-named author.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Li, Professor Xin |
| Authors: | Larsen, N. S., and Li, X. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Proceedings of the American Mathematical Society |
| Publisher: | American Mathematical Society |
| ISSN: | 0002-9939 |
| ISSN (Online): | 1088-6826 |
| Published Online: | 01 February 2013 |
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