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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Semiprojectivity of universal $C^*$-algebras generated by algebraic elements
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by Tatiana Shulman PDF
Proc. Amer. Math. Soc. 140 (2012), 1363-1370 Request permission

Abstract:

Let $p$ be a polynomial in one variable whose roots all have multiplicity more than 1. It is shown that the universal $C^*$-algebra of a relation $p(x)=0$, $\|x\| \le 1$, is semiprojective and residually finite-dimensional. Applications to polynomially compact operators are given.
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Additional Information
  • Tatiana Shulman
  • Affiliation: Department of Mathematical Sciences, University of Copenhagen, Universitet- sparken 5, DK-2100 Copenhagen, Denmark
  • MR Author ID: 684365
  • Email: shulman@math.ku.dk, tatiana_shulman@yahoo.com
  • Received by editor(s): June 13, 2009
  • Received by editor(s) in revised form: January 5, 2011
  • Published electronically: August 9, 2011
  • Communicated by: Marius Junge
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 140 (2012), 1363-1370
  • MSC (2010): Primary 46L05, 46L35
  • DOI: https://doi.org/10.1090/S0002-9939-2011-11144-4
  • MathSciNet review: 2869120