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portada Characterizing Groupoid C*-Algebras of Non-Hausdorff Étale Groupoids
Type
Physical Book
Author
Publisher
Language
English
Pages
158
Format
Paperback
Dimensions
23.4 x 15.6 x 0.9 cm
Weight
0.24 kg.
ISBN13
9783031055126
Categories

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

Ruy Exel (Author) · David R. Pitts (Author) · Springer · Paperback

Characterizing Groupoid C*-Algebras of Non-Hausdorff Étale Groupoids - Exel, Ruy ; Pitts, David R.

New Book Imported to South Africa
Delivery: 06 Aug - 14 Aug Shipping: 5 to 6 business days.
R 548
R 548

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Synopsis "Characterizing Groupoid C*-Algebras of Non-Hausdorff Étale Groupoids"

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 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.

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