Asymptotic Morphisms and Elliptic Operators over C*-algebras
Abstract
Description
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.
For journal version, see http://www.kluweronline.com/issuetoc.htm/0920-3036+18+3+1999
For journal version, see http://www.kluweronline.com/issuetoc.htm/0920-3036+18+3+1999