Characterizing Groupoid C*-algebras of Non-Hausdorff Étale Groupoids
Ruy ExelDavid R. Pitts
Broschiertes Buch

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

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This book develops tools to handle C_-algebras arising as completions of convolution algebras of sections of line bundles over possibly non-Hausdorff groupoids. A fundamental result of Gelfand describes commutative C_-algebras as continuous functions on locally compact Hausdorff spaces.Kumjian, and later Renault, showed that Gelfand's result can be extended to include non-commutative C_-algebras containing a commutative C_-algebra. In their setting, the C_-algebras in question may be described as the completion of convolution algebras of functions on twisted Hausdorff groupoids with respect to...