$C^∗$-envelopes of tensor algebras for multivariable dynamics
Résumé
We give a new very concrete description of the $C^∗$- envelope of the tensor algebra associated to multivariable dynamical system. In the surjective case, this C*-envelope is described as a crossed product by an endomorphism, and as a groupoid $C^∗$-algebra. In the non-surjective case, it is a full corner of a such an algebra. We also show that when the space is compact, then the $C^∗$-envelope is simple if and only if the system is minimal.
Domaines
Analyse fonctionnelle [math.FA]
Origine : Fichiers produits par l'(les) auteur(s)
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