On transformation group $C^ *$-algebras with continuous trace
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- by Siegfried Echterhoff PDF
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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.References
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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