English

Summary of Spectral Invariance Results

funct-an 2016-02-15 v1 Operator Algebras

Abstract

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).

Keywords

Cite

@article{arxiv.funct-an/9301002,
  title  = {Summary of Spectral Invariance Results},
  author = {Larry B. Schweitzer},
  journal= {arXiv preprint arXiv:funct-an/9301002},
  year   = {2016}
}

Comments

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