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Characterizing groupoid C -algebras of non-Hausdorff Étale groupoids / / Ruy Exel and David R. Pitts



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Autore: Exel Ruy <1956-> Visualizza persona
Titolo: Characterizing groupoid C -algebras of non-Hausdorff Étale groupoids / / Ruy Exel and David R. Pitts Visualizza cluster
Pubblicazione: Cham, Switzerland : , : Springer, , [2022]
©2022
Descrizione fisica: 1 online resource (161 pages)
Disciplina: 512.2
Soggetto topico: Groupoids
C*-algebras
Grupoides
C*-àlgebres
Soggetto genere / forma: Llibres electrònics
Persona (resp. second.): PittsDavid Ryder
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: Intro -- Abstract -- Contents -- 1 Introduction -- 2 Inclusions -- 2.1 Local Modules -- 2.2 Regular Ideals and the Localizing Projection -- 2.3 Regular Inclusions -- 2.4 Invariant Ideals -- 2.5 Extended Multiplication for Normalizers -- 2.6 Regularity of Maximal Ideals in Regular Inclusions -- 2.7 Extension of Pure States, Relative Free Points and Smooth Normalizers -- 2.8 Free Points -- 2.9 Fourier Coefficients -- 2.10 Opaque and Gray Ideals -- 2.11 Topologically Free Inclusions -- 2.12 Pseudo-Expectations -- 3 Groupoids -- 3.1 Étale Groupoids -- 3.2 Twists and Line Bundles -- 3.3 The C*-Algebra of a Twisted Groupoid -- 3.4 Topologically Free Groupoids -- 3.5 The Essential Groupoid C*-Algebra -- 3.6 Kwasniewski and Meyer's Version of the Essential Groupoid C*-Algebra -- 3.7 The Relative Weyl Groupoid -- 3.8 Fell Bundles Over Inverse Semigroups -- 3.9 Topological Freeness of the Weyl Groupoidand the Main Theorem -- 3.10 Semi-Masas -- 3.11 Canonical States -- 4 Examples and Open Questions -- 4.1 Example: Non-Smooth Normalizers -- 4.2 Example: Periodic Functions on the Interval -- 4.3 Example: The Gray Ideal of Twisted Groupoid C*-Algebras -- 4.4 Some Open Questions -- 5 Appendix: Isotropy Projection -- References -- Symbol Index -- Concept Index.
Titolo autorizzato: -algebras of non-Hausdorff Étale groupoids  Visualizza cluster
ISBN: 3-031-05513-6
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996495169503316
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Serie: Lecture Notes in Mathematics