Abbildung von Exel / Pitts | Characterizing Groupoid C*-algebras of Non-Hausdorff Étale Groupoids | 1. Auflage | 2022 | beck-shop.de
eBook

Exel / Pitts

Characterizing Groupoid C*-algebras of Non-Hausdorff Étale Groupoids

sofort lieferbar!

42,79 €

Preisangaben inkl. MwSt. Abhängig von der Lieferadresse kann die MwSt. an der Kasse variieren. Weitere Informationen

eBook. PDF

eBook

1st ed. 2022. 2022

VIII, 158 p..

In englischer Sprache

Springer International Publishing. ISBN 978-3-031-05513-3

Das Werk ist Teil der Reihe: Springer Lecture Notes in Mathematics

Produktbeschreibung

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 to a 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.

Topseller & Empfehlungen für Sie

Ihre zuletzt angesehenen Produkte

Autorinnen/Autoren

  • Rezensionen

    Dieses Set enthält folgende Produkte:
      Auch in folgendem Set erhältlich:
      • nach oben

        Ihre Daten werden geladen ...