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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48 .

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On transformation group $C^ *$-algebras with continuous trace
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by Siegfried Echterhoff PDF
Trans. Amer. Math. Soc. 343 (1994), 117-133 Request permission

Abstract:

In this paper we answer some questions posed by Dana Williams in [19] concerning the problem under which conditions the transformation group ${C^ \ast }$-algebra ${C^\ast }(G,\Omega )$ of a locally compact transformation group (G, $\Omega$) has continuous trace. One consequence will be, for compact G, that ${C^\ast }(G,\Omega )$ has continuous trace if and only if the stabilizer map is continuous. We also give a complete solution to the problem if G is discrete.
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 343 (1994), 117-133
  • MSC: Primary 46L55; Secondary 22D25, 54H20
  • DOI: https://doi.org/10.1090/S0002-9947-1994-1157612-1
  • MathSciNet review: 1157612