On nuclearity of the C∗-algebra of an inverse semigroup
Amini, Massoud (Tarbiat Modares University (Tehran, Iran). Department of Mathematics)
Khoshkam, Mahmood (University of Saskatchewan (Saskatoon, Canadà). Department of Mathematics and Statistics)

Date:	2020
Abstract:	We show that the universal groupoid of an inverse semigroup S is topologically (measurewise) amenable if and only if S is hyperfinite and all members of a family of subsemigroups of S indexed by the spectrum of the commutative C∗-algebra C∗(ES) on the idempotents ES of S are amenable. Thereby we solve some problems raised by A. L. T. Paterson.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Inverse semigroup ; Universal groupoid ; Amenability ; Nuclearity
Published in:	Publicacions matemàtiques, Vol. 64 Núm. 2 (2020) , p. 499-511 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/371195
DOI: 10.5565/PUBLMAT6422005

13 p, 336.2 KB

The record appears in these collections:
Articles > Published articles > Publicacions matemàtiques
Articles > Research articles