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Characterizing Groupoid C-algebras of Non-Hausdorff tale Groupoids (Lecture Notes in Mathematics, 2306) free ebook download

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Mathematics

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Author(s):	Ruy Exel

Date:	2022	Format:	pdf	Language:	English	ISBN/ASIN:	3031055128
Pages:	166	OCR:		Quality:		ISBN13:
Uploader:	risotor	Upload Date:	1/22/2023 10:35:58 PM

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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 a certain norm. However, there are many natural settings in which the KumjianRenault 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 KumjianRenault 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.

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Tags: C*-algebras Characterizing Groupoid Groupoids Lecture Mathematics Non-Hausdorff Notes tale

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Characterizing Groupoid C-algebras of Non-Hausdorff tale Groupoids (Lecture Notes in Mathematics, 2306) free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics