Asymptotic Morphisms and Elliptic Operators over C*-algebras
Operator Algebras
2007-05-23 v2 K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.math/9906098,
title = {Asymptotic Morphisms and Elliptic Operators over C*-algebras},
author = {Jody Trout},
journal= {arXiv preprint arXiv:math/9906098},
year = {2007}
}
Comments
For journal version, see http://www.kluweronline.com/issuetoc.htm/0920-3036+18+3+1999