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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Characterizing Groupoid C*-algebras of Non-Hausdorff Étale Groupoids/ by Ruy Exel, David R. Pitts.
作者:	Exel, Ruy.
其他作者:	Pitts, David R.
面頁冊數:	VIII, 158 p.online resource. :
Contained By:	Springer Nature eBook
標題:	Group Theory and Generalizations. -
電子資源:	https://doi.org/10.1007/978-3-031-05513-3
ISBN:	9783031055133

Characterizing Groupoid C*-algebras of Non-Hausdorff Étale Groupoids
Exel, Ruy.

Characterizing Groupoid C*-algebras of Non-Hausdorff Étale Groupoids[electronic resource] /by Ruy Exel, David R. Pitts. - 1st ed. 2022. - VIII, 158 p.online resource. - Lecture Notes in Mathematics,23061617-9692 ;. - Lecture Notes in Mathematics,2144.

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 to a 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.

ISBN: 9783031055133

Standard No.: 10.1007/978-3-031-05513-3doiSubjects--Topical Terms:

672112
Group Theory and Generalizations.

LC Class. No.: QA319-329.9

Dewey Class. No.: 515.7

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