A Factorization Theorem for Smooth Crossed Products
funct-an
2016-02-15 v1 Operator Algebras
Abstract
We show that if E is a Frechet G\rtimes S(M)-module, for which the canonical map from the projective completion G\rtimes S(M) {\widehat \otimes} E to E is surjective, then every element of E can be written as a finite sum of elements of the form ae where e\in E and a is an element of the smooth crossed product G\rtimes S(M). We require that the Schwartz functions S(M) vanish rapidly with repsect to a continuous, proper map \s : M ---> [0, \infty).
Keywords
Cite
@article{arxiv.funct-an/9301003,
title = {A Factorization Theorem for Smooth Crossed Products},
author = {Larry B. Schweitzer},
journal= {arXiv preprint arXiv:funct-an/9301003},
year = {2016}
}
Comments
16 pages, AMS Tex 2.1, 1-28-93