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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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Compact quantum group actions on C*-algebras and invariant derivations
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by Raluca Dumitru and Costel Peligrad PDF
Proc. Amer. Math. Soc. 135 (2007), 3977-3984 Request permission

Abstract:

We define the notion of invariant derivation of a C*-algebra under a compact quantum group action and prove that in certain conditions, such derivations are generators of one parameter automorphism groups.
References
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Additional Information
  • Raluca Dumitru
  • Affiliation: Department of Mathematics, University of Cincinnati, Cincinnati, Ohio; and Institute of Mathematics of the Romanian Academy, Bucharest, Romania
  • Email: dumitrra@email.uc.edu
  • Costel Peligrad
  • Affiliation: Department of Mathematics, University of Cincinnati, Cincinnati, Ohio; and Institute of Mathematics of the Romanian Academy, Bucharest, Romania
  • Email: costel.peligrad@UC.Edu
  • Received by editor(s): March 8, 2006
  • Received by editor(s) in revised form: November 25, 2006
  • Published electronically: July 27, 2007
  • Additional Notes: This research was supported by the Taft Foundation. The first author was supported by a Taft Advanced Graduate Fellowship and by a Taft Graduate Enrichment Award. The second author was supported by a Taft Research Travel Grant.
  • Communicated by: Joseph A. Ball
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 3977-3984
  • MSC (2000): Primary 46L57, 20G42; Secondary 81T99
  • DOI: https://doi.org/10.1090/S0002-9939-07-09011-9
  • MathSciNet review: 2341948