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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Continuous Fell bundles associated to measurable twisted actions
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by Ruy Exel and Marcelo Laca PDF
Proc. Amer. Math. Soc. 125 (1997), 795-799 Request permission

Abstract:

Given a measurable twisted action of a second-countable, locally compact group $G$ on a separable $C^{*}$-algebra $A$, we prove the existence of a topology on $A\times G$ making it a continuous Fell bundle, whose cross sectional $C^{*}$-algebra is isomorphic to the Busby–Smith–Packer–Raeburn crossed product.
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Additional Information
  • Ruy Exel
  • Affiliation: Departamento de Matemática, Universidade de São Paulo, Rua do Matão, 1010, 05508-900 São Paulo, Brazil
  • MR Author ID: 239607
  • Email: exel@ime.usp.br
  • Marcelo Laca
  • Affiliation: Mathematics Department, University of Newcastle, Newcastle, New South Wales 2308, Australia
  • MR Author ID: 335785
  • Email: marcelo@math.newcastle.edu.au
  • Received by editor(s): August 22, 1995
  • Additional Notes: The first author was partially supported by CNPq, Brazil The second author was supported by the Australian Research Council.
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 795-799
  • MSC (1991): Primary 46L05
  • DOI: https://doi.org/10.1090/S0002-9939-97-03618-6
  • MathSciNet review: 1353382