Summary of Spectral Invariance Results

Details Summary of Spectral Invariance Results Summary of Spectral Invariance Results

1993-01-23

arxiv.org/abs/funct-an/9301002v1

Mathematics

Operator Algebras

7 pages, plain Tex version 2.95, 1-23-93

Scientific paper

The author's recent results on spectral invariant dense subalgebras of C*-algebras associated with dynamical systems are summarized. If G is a compactly generated polynomial growth Type R Lie group, and the action of G on S(M) (Schwartz functions on a locally compact G-space M) is tempered in a certain sense, then there is a natural smooth crossed product S(G X M) which is dense and spectral invariant in the C*-crossed product C*(G X M).

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