On partial actions and groupoids

Author:
Fernando Abadie

Journal:
Proc. Amer. Math. Soc. **132** (2004), 1037-1047

MSC (2000):
Primary 46L05

DOI:
https://doi.org/10.1090/S0002-9939-03-07300-3

Published electronically:
November 7, 2003

MathSciNet review:
2045419

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Abstract | References | Similar Articles | Additional Information

Abstract: We prove that, as in the case of global actions, any partial action gives rise to a groupoid provided with a Haar system, whose -algebra agrees with the crossed product by the partial action.

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Additional Information

**Fernando Abadie**

Affiliation:
Centro de Matemática, Facultad de Ciencias, Universidad de la República, Iguá 4225, 11400, Montevideo, Uruguay

Email:
fabadie@cmat.edu.uy

DOI:
https://doi.org/10.1090/S0002-9939-03-07300-3

Keywords:
Groupoids,
Fell bundles,
partial actions

Received by editor(s):
April 25, 2001

Received by editor(s) in revised form:
October 24, 2002

Published electronically:
November 7, 2003

Additional Notes:
This work was partially financied by Fapesp, Brazil, Processo No. 95/04097-9

Communicated by:
David R. Larson

Article copyright:
© Copyright 2003
American Mathematical Society