Representable E-theory for Co(X)-algebras
Operator Algebras
2007-05-23 v2 K-Theory and Homology
Abstract
Let X be a locally compact space, and let A and B be Co(X)-algebras. We define the notion of an asymptotic Co(X)-morphism from A to B and construct representable E-theory groups RE(X;A,B). These are the universal groups on the category of separable Co(X)-algebras that are Co(X)-stable, Co(X)-homotopy-invariant, and half-exact. If A is RKK(X)-nuclear, these groups are naturally isomorphic to Kasparov's representable KK-theory groups RKK(X;A,B). Applications and examples are also discussed.
Cite
@article{arxiv.math/0006182,
title = {Representable E-theory for Co(X)-algebras},
author = {Efton Park and Jody Trout},
journal= {arXiv preprint arXiv:math/0006182},
year = {2007}
}
Comments
For journal version, see http://www.idealibrary.com/links/doi/10.1006/jfan.2000.3654