Shape theory and asymptotic morphisms for C∗-algebras
نویسندگان
چکیده
منابع مشابه
Shape Theory and Asymptotic Morphisms for C*-algebras
In this paper we relate two topological invariants of a separable C*-algebras. The first is the shape invariant first studied by Effros and Kaminker [EK] and then developed further by Blackadar [B]. The second invariant is the isomorphism class of a C*-algebra in the asymptotic homotopy category A introduced by Connes and Higson [CH]. We prove that two separable C*-algebras are shape equivalent...
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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 ...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 1994
ISSN: 0012-7094
DOI: 10.1215/s0012-7094-94-07327-4