POINTWISE BOUNDED ASYMPTOTIC MORPHISMS AND THOMSEN’S NON-STABLE k-THEORY
نویسنده
چکیده
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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