Pointwise bounded asymptotic morphisms and Thomsen's non-stable k-theory
Operator Algebras
2007-05-23 v1 Functional Analysis
Abstract
In this paper I show that pointwise bounded asymptotic morphisms between separable metrisable locally convex *-algebras induce continuous maps between the quasi-unitary groups of the algebras, provided that the algebras support a certain amount of functional calculus. This links the asymptotic morphisms directly to Thomsen's non-stable definition of k-theory in the C* algebra case. A result on composition of asymptotic morphisms is also given.
Keywords
Cite
@article{arxiv.math/0201051,
title = {Pointwise bounded asymptotic morphisms and Thomsen's non-stable k-theory},
author = {Edwin J. Beggs},
journal= {arXiv preprint arXiv:math/0201051},
year = {2007}
}
Comments
LaTex, approx 14pages