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Characterizing Groupoid C*-algebras of Non-Hausdorff Etale Groupoids
Engelsk Paperback
Characterizing Groupoid C*-algebras of Non-Hausdorff Etale Groupoids
Engelsk Paperback

431 kr
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Om denne bog

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.


Product detaljer
Sprog:
Engelsk
Sider:
158
ISBN-13:
9783031055126
Indbinding:
Paperback
Udgave:
ISBN-10:
3031055128
Udg. Dato:
20 okt 2022
Længde:
0mm
Bredde:
155mm
Højde:
235mm
Forlag:
Springer International Publishing AG
Oplagsdato:
20 okt 2022
Forfatter(e):
Kategori sammenhænge