On a Construction Due to Khoshkam and Skandalis
Documenta mathematica, Tome 23 (2018), pp. 1995-2025
In this paper, we consider the Wiener-Hopf algebra, denoted W(A,P,G,α), associated to an action of a discrete subsemigroup P of a group G on a C∗-algebra A. We show that W(A,P,G,α) can be represented as a groupoid crossed product. As an application, we show that when P=Fn+, the free semigroup on n generators, the K-theory of W(A,P,G,α) and the K-theory of A coincides.
Classification :
22A22, 43A65, 46L55
Mots-clés : Wiener-Hopf C∗-algebras, semigroups, groupoid dynamical systems
Mots-clés : Wiener-Hopf C∗-algebras, semigroups, groupoid dynamical systems
@article{10_4171_dm_666,
author = {S. Sundar},
title = {On a {Construction} {Due} to {Khoshkam} and {Skandalis}},
journal = {Documenta mathematica},
pages = {1995--2025},
year = {2018},
volume = {23},
doi = {10.4171/dm/666},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/666/}
}
S. Sundar. On a Construction Due to Khoshkam and Skandalis. Documenta mathematica, Tome 23 (2018), pp. 1995-2025. doi: 10.4171/dm/666
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