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