Characterizing Groupoid C algebras of Non Hausdorff tale Groupoids is popular PDF and ePub book, written by Ruy Exel in 2022-10-18, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Characterizing Groupoid C algebras of Non Hausdorff tale Groupoids can be Read Online from any device for your convenience.
Characterizing Groupoid C algebras of Non Hausdorff tale Groupoids Book PDF Summary
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.
Detail Book of Characterizing Groupoid C algebras of Non Hausdorff tale Groupoids PDF
- Author : Ruy Exel
- Release : 18 October 2022
- Publisher : Springer Nature
- ISBN : 9783031055133
- Genre : Mathematics
- Total Page : 161 pages
- Language : English
- PDF File Size : 20,8 Mb
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