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Zbl 1023.46057
Roxana Buneci, Madalina
The structure of the Haar systems on locally compact groupoids. (English)
[J] Math. Phys. Electron. J. 8, Paper No.4, 11 p. (2002). ISSN 1086-6655/e

Summary: We prove a decomposition property of a Haar system on a locally compact groupoid. Using this decomposition, we establish the structure of the $C^{\ast}$-algebra associated to a locally compact groupoid whose associated equivalence relation is a closed set.

MSC 2000:: *46L05 General theory of C*-algebras
43A99 Miscellaneous topics in harmonic analysis

Keywords: Haar system; groupoid

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Zentralblatt MATH Berlin [Germany]