E-Theory for C*-algebras over topological spaces
K-Theory and Homology
2015-10-23 v1
Abstract
We define E-theory for separable C*-algebras over second countable topological spaces and establish its basic properties. This includes an approximation theorem that relates the E-theory over a general space to the E-theories over finite approximations to this space. We obtain effective criteria for determining the invertibility of E-theory elements over possibly infinite-dimensional spaces. Furthermore, we prove a Universal Multicoefficient Theorem for C*-algebras over totally disconnected metrisable compact spaces.
Keywords
Cite
@article{arxiv.0912.0283,
title = {E-Theory for C*-algebras over topological spaces},
author = {Marius Dadarlat and Ralf Meyer},
journal= {arXiv preprint arXiv:0912.0283},
year = {2015}
}
Comments
33 pages