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Record Nr. |
UNISA996495169503316 |
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Autore |
Exel Ruy <1956-> |
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Titolo |
Characterizing groupoid C -algebras of non-Hausdorff Étale groupoids / / Ruy Exel and David R. Pitts |
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Pubbl/distr/stampa |
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Cham, Switzerland : , : Springer, , [2022] |
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©2022 |
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ISBN |
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Descrizione fisica |
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1 online resource (161 pages) |
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Collana |
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Lecture Notes in Mathematics ; ; v.2306 |
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Disciplina |
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Soggetti |
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Groupoids |
C*-algebras |
Grupoides |
C*-àlgebres |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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 |
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