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Asymptotic Morphisms and Elliptic Operators over C*-algebras

Jody Trout
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Abstract

This paper provides an E-theoretic proof of an exact form, due to E. Troitsky, of the Mischenko-Fomenko Index Theorem for elliptic pseudodifferential operators over a unital C*-algebra. The main ingredients in the proof are the use of asymptotic morphisms of Connes and Higson, vector bundle modification, a Baum-Douglas-type group, and a KK-argument of Kasparov.

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Jody Trout. 2002-03-28. Asymptotic Morphisms and Elliptic Operators over C*-algebras. https://arxiv.org/abs/math/9906098

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