02940nam 2200529 450 99649516950331620231110212859.03-031-05513-6(MiAaPQ)EBC7119417(Au-PeEL)EBL7119417(CKB)25176344600041(PPN)265855330(EXLCZ)992517634460004120230305d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierCharacterizing groupoid C* -algebras of non-Hausdorff Étale groupoids /Ruy Exel and David R. PittsCham, Switzerland :Springer,[2022]©20221 online resource (161 pages)Lecture Notes in Mathematics ;v.2306Print version: Exel, Ruy Characterizing Groupoid C*-Algebras of Non-Hausdorff Étale Groupoids Cham : Springer International Publishing AG,c2022 9783031055126 Includes bibliographical references and index.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.Lecture Notes in Mathematics GroupoidsC*-algebrasGrupoidesthubC*-àlgebresthubLlibres electrònicsthubGroupoids.C*-algebras.GrupoidesC*-àlgebres512.2Exel Ruy1956-1262854Pitts David RyderMiAaPQMiAaPQMiAaPQBOOK996495169503316-algebras of non-Hausdorff Étale groupoids3589994UNISA