Characterizing Groupoid C*-algebras of Non-Hausdorff Étale Groupoids
This book develops tools to handle C*-algebras arising as completions of convolution algebras of sections of line bundles over possibly non-Hausdorff groupoids. A fundamental result of Gelfand describes commutative C*-algebras as continuous functions on locally compact Hausdorff spaces. Kumjian, and later Renault, showed that Gelfand's result can be extended to include non-commutative C*-algebras containing a commutative C*-algebra. In their setting, the C*-algebras in question may be described as the completion of convolution algebras of functions on twisted Hausdorff groupoids with respect to a certain norm. However, there are many natural settings in which the Kumjian-Renault theory does not apply, in part because the groupoids which arise are not Hausdorff. In fact, non-Hausdorff groupoids have been a source of surprising counterexamples and technical difficulties for decades. Including numerous illustrative examples, this book extends the Kumjian-Renault theory toa much broader class of C*-algebras. This work will be of interest to researchers and graduate students in the area of groupoid C*-algebras, the interface between dynamical systems and C*-algebras, and related fields.
Afficher plusDisponible, délai de livraison : 1-3 jours
Plus qu'un exemplaire disponible !
Plus d'infos sur l'état
28,41 €*
Prix TTC plus Frais de livraison
Garantie de satisfaction 14 jours
Commande sans risque
Produits d'occasion contrôlés
Contrôlé individuellement
Informations sur le produit "Characterizing Groupoid C*-algebras of Non-Hausdorff Étale Groupoids"
Connexion
Auteur
David R. Pitts; Exel, Ruy
Ruy Exel is a professor of Mathematics at the Universidade Federal de Santa Catarina, in Brazil. He has published extensively in the subject of operator algebras with emphasis on its interactions with dynamical systems and mathematical physics. A pioneer in the area of partial actions of groups on C*-algebras, he has recently published the book Partial Dynamical Systems, Fell Bundles and Applications. He was an invited speaker in the 2018 ICM in Rio. David R. Pitts is a professor of mathematics at the University of Nebraska-Lincoln. He has published work on various aspects of operator algebras, including: commutative subspace lattice algebras, free semigroup algebras, and Cartan subalgebras of von Neumann algebras and C*-algebras.
Livraison gratuite à partir de 29 €
Retour gratuit pendant 14 jours - Aucun risque
Livres d'occasion vérifiés