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ISBN 10: 3031055128 ISBN 13: 9783031055126
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Aggiungi al carrelloTaschenbuch. Condizione: Neu. Characterizing Groupoid C*-algebras of Non-Hausdorff Étale Groupoids | Ruy Exel (u. a.) | Taschenbuch | Lecture Notes in Mathematics | viii | Englisch | 2022 | Springer | EAN 9783031055126 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
Lingua: Inglese
Editore: American Mathematical Society, 2017
ISBN 10: 1470437856 ISBN 13: 9781470437855
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Aggiungi al carrelloHardcover. Condizione: Brand New. 321 pages. 10.00x7.00x0.75 inches. In Stock.
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ISBN 10: 1470437856 ISBN 13: 9781470437855
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Aggiungi al carrelloHardback. Condizione: New. 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.
Lingua: Inglese
Editore: American Mathematical Society, 2017
ISBN 10: 1470437856 ISBN 13: 9781470437855
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Editore: American Mathematical Society, US, 2017
ISBN 10: 1470437856 ISBN 13: 9781470437855
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Aggiungi al carrelloHardback. Condizione: New. 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.
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Lingua: Inglese
Editore: Springer, Springer Okt 2022, 2022
ISBN 10: 3031055128 ISBN 13: 9783031055126
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Aggiungi al carrelloTaschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 168 pp. Englisch.