Surveys in Mathematics and its Applications


ISSN 1842-6298
Volume 1 (2006), 71 - 98

GROUPOID C*-ALGEBRAS

Mădălina Roxana Buneci

Abstract. The purpose of this paper is to recall the main ingredients of the construction of the C*-algebra of a groupoid (introduced by Renault in [19] and to collect some results on the independence of the C*-algebra on the choice of Haar system.

2000 Mathematics Subject Classification: 22A22, 43A05, 46L05, 46L52.
Keywords: locally compact Hausdorff groupoid, Haar system, C*-algebra, Morita equivalence.

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Acknowledgement. This work was partially supported by the CEEX grant ET65/2005, contract no 2987/11.10.2005, and partially by CNCSIS grant A1065/2006 from the Romanian Ministry of Education and Research.

Mădălina Roxana Buneci
University Constantin Brâncuşi of Târgu-Jiu,
Bld. Republicii 1, 210152, Târgu-Jiu,
Romania.
e-mail: ada@utgjiu.ro
http://www.utgjiu.ro/math/mbuneci/

http://www.utgjiu.ro/math/sma