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

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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.
LaTex, approx 14pages

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Operator Algebras, Functional Analysis, 46K05

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http://salesiana.dossiersoluciones.com/handle/123456789/63059

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0201051
 http://arxiv.org/abs/math/0201051

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arXiv