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oai:raco.cat:article/371195 2020-06-28T15:30:42Z PublicacionsMatematiques:ART

On nuclearity of the C∗-algebra of an inverse semigroup Amini, Massoud Khoshkam, Mahmood inverse semigroup universal groupoid amenability nuclearity 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. Universitat Autònoma de Barcelona 2020 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://raco.cat/index.php/PublicacionsMatematiques/article/view/371195 2014-4350 0214-1493 RACO (Revistes Catalanes amb Accés Obert) eng Publicacions Matemàtiques; Vol. 64 Núm. 2 (2020); 499–511; https://raco.cat/index.php/PublicacionsMatematiques/article/view/371195/464904 info:eu-repo/semantics/openAccess