Partial Dynamical Systems, Fell Bundles and Applications - Couverture rigide

Exel, Ruy

Couverture rigide

ISBN 10 : 1470437856 ISBN 13 : 9781470437855

Editeur : American Mathematical Society, 2017

Synopsis

Partial dynamical systems, originally developed as a tool to study algebras of operators in Hilbert spaces, has recently become an important branch of algebra. Its most powerful results allow for understanding structural properties of algebras, both in the purely algebraic and in the C*-contexts, in terms of the dynamical properties of certain systems which are often hiding behind algebraic structures. The first indication that the study of an algebra using partial dynamical systems may be helpful is the presence of a grading. While the usual theory of graded algebras often requires gradings to be saturated, the theory of partial dynamical systems is especially well suited to treat nonsaturated graded algebras which are in fact the source of the notion of ""partiality''. One of the main results of the book states that every graded algebra satisfying suitable conditions may be reconstructed from a partial dynamical system via a process called the partial crossed product.

Running in parallel with partial dynamical systems, partial representations of groups are also presented and studied in depth.

In addition to presenting main theoretical results, several specific examples are analyzed, including Wiener-Hopf algebras and graph C*-algebras.

A propos du livre

À propos de l'auteur

Ruy Exel, Universidade Federal de Santa Catarina, Florianopolis-SC, Brazil.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2017
• Langue: anglais
• ISBN 10: 1470437856
• ISBN 13: 9781470437855
• Reliure: Relié
• Nombre de pages: 321
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible