Asymptotic Morphisms and Elliptic Operators over C*-algebras

Details Asymptotic Morphisms and Elliptic Operators over C*-algebras Asymptotic Morphisms and Elliptic Operators over C*-algebras

1999-06-14

arxiv.org/abs/math/9906098v2

K-theory, 18 (1999) 277-315

Mathematics

Operator Algebras

For journal version, see http://www.kluweronline.com/issuetoc.htm/0920-3036+18+3+1999

Scientific paper

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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