Pointwise bounded asymptotic morphisms and Thomsen's non-stable k-theory

Details Pointwise bounded asymptotic morphisms and Thomsen's non-stable k-theory Pointwise bounded asymptotic morphisms and Thomsen's non-stable k-theory

2002-01-08

arxiv.org/abs/math/0201051v1

Mathematics

Operator Algebras

LaTex, approx 14pages

Scientific paper

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.

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