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

فهرست مطالب :

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