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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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Morita equivalence and Pedersen ideals
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by Pere Ara PDF
Proc. Amer. Math. Soc. 129 (2001), 1041-1049 Request permission

Abstract:

We show that two $C^{*}$-algebras are strongly Morita equivalent if and only if their Pedersen ideals are Morita equivalent as rings with involution.
References
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Additional Information
  • Pere Ara
  • Affiliation: Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain
  • MR Author ID: 206418
  • Email: para@mat.uab.es
  • Received by editor(s): March 30, 1998
  • Received by editor(s) in revised form: June 25, 1999
  • Published electronically: October 4, 2000
  • Additional Notes: This work was partially supported by DGYCIT and the Comissionat per Universitats i Recerca de la Generalitat de Catalunya
  • Communicated by: David R. Larson
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 1041-1049
  • MSC (2000): Primary 46L08, 16D90
  • DOI: https://doi.org/10.1090/S0002-9939-00-05688-4
  • MathSciNet review: 1814143