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Characterizing Groupoid C*-algebras of Non-Hausdorff Étale Groupoids (Lecture Notes in Mathematics) - Softcover
- PublisherSpringer
- Publication date2022
- ISBN 10 3031055128
- ISBN 13 9783031055126
- BindingPaperback
- Edition number1
- Number of pages168
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Characterizing Groupoid C-algebras of Non-hausdorff Etale Groupoids
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Characterizing Groupoid C*-algebras of Non-Hausdorff Ãtale Groupoids
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Characterizing Groupoid C-algebras of Non-hausdorff Etale Groupoids
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Characterizing Groupoid C*-algebras of Non-Hausdorff ÃÂtale Groupoids (Lecture Notes in Mathematics, 2306) by Exel, Ruy, Pitts, David R. [Paperback ]
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Characterizing Groupoid C-algebras of Non-hausdorff Etale Groupoids
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Characterizing Groupoid C*-Algebras of Non-Hausdorff �tale Groupoids (Paperback or Softback)
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ISBN 10: 3031055128
ISBN 13: 9783031055126
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Characterizing Groupoid C-algebras of Non-hausdorff Etale Groupoids
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Characterizing Groupoid C\*-algebras of Non-Hausdorff Étale Groupoids
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ISBN 13: 9783031055126
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book develops tools to handle C\*-algebras arising as completions ofconvolution 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 a certain norm. However, there are many natural settings in which the Kumjian-Renault theory does not apply, in part because the groupoids which arise are not Hausdorff. In fact, non-Hausdorff groupoids have been a source of surprising counterexamples and technical difficulties for decades. Including numerous illustrative examples, this book extends the Kumjian-Renault theory toa much broader class of C\*-algebras. This work will be of interest to researchers and graduate students in the area of groupoid C\*-algebras, the interface between dynamical systems and C\*-algebras, and related fields. 168 pp. Englisch. Seller Inventory # 9783031055126
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