LEADER 02940nam 2200529 450 001 996495169503316 005 20231110212859.0 010 $a3-031-05513-6 035 $a(MiAaPQ)EBC7119417 035 $a(Au-PeEL)EBL7119417 035 $a(CKB)25176344600041 035 $a(PPN)265855330 035 $a(EXLCZ)9925176344600041 100 $a20230305d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCharacterizing groupoid C* -algebras of non-Hausdorff E?tale groupoids /$fRuy Exel and David R. Pitts 210 1$aCham, Switzerland :$cSpringer,$d[2022] 210 4$d©2022 215 $a1 online resource (161 pages) 225 1 $aLecture Notes in Mathematics ;$vv.2306 311 08$aPrint version: Exel, Ruy Characterizing Groupoid C*-Algebras of Non-Hausdorff Étale Groupoids Cham : Springer International Publishing AG,c2022 9783031055126 320 $aIncludes bibliographical references and index. 327 $aIntro -- Abstract -- Contents -- 1 Introduction -- 2 Inclusions -- 2.1 Local Modules -- 2.2 Regular Ideals and the Localizing Projection -- 2.3 Regular Inclusions -- 2.4 Invariant Ideals -- 2.5 Extended Multiplication for Normalizers -- 2.6 Regularity of Maximal Ideals in Regular Inclusions -- 2.7 Extension of Pure States, Relative Free Points and Smooth Normalizers -- 2.8 Free Points -- 2.9 Fourier Coefficients -- 2.10 Opaque and Gray Ideals -- 2.11 Topologically Free Inclusions -- 2.12 Pseudo-Expectations -- 3 Groupoids -- 3.1 Étale Groupoids -- 3.2 Twists and Line Bundles -- 3.3 The C*-Algebra of a Twisted Groupoid -- 3.4 Topologically Free Groupoids -- 3.5 The Essential Groupoid C*-Algebra -- 3.6 Kwasniewski and Meyer's Version of the Essential Groupoid C*-Algebra -- 3.7 The Relative Weyl Groupoid -- 3.8 Fell Bundles Over Inverse Semigroups -- 3.9 Topological Freeness of the Weyl Groupoidand the Main Theorem -- 3.10 Semi-Masas -- 3.11 Canonical States -- 4 Examples and Open Questions -- 4.1 Example: Non-Smooth Normalizers -- 4.2 Example: Periodic Functions on the Interval -- 4.3 Example: The Gray Ideal of Twisted Groupoid C*-Algebras -- 4.4 Some Open Questions -- 5 Appendix: Isotropy Projection -- References -- Symbol Index -- Concept Index. 410 0$aLecture Notes in Mathematics 606 $aGroupoids 606 $aC*-algebras 606 $aGrupoides$2thub 606 $aC*-àlgebres$2thub 608 $aLlibres electrònics$2thub 615 0$aGroupoids. 615 0$aC*-algebras. 615 7$aGrupoides 615 7$aC*-àlgebres 676 $a512.2 700 $aExel$b Ruy$f1956-$01262854 702 $aPitts$b David Ryder 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996495169503316 996 $a-algebras of non-Hausdorff E?tale groupoids$93589994 997 $aUNISA