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arXiv · 0912.0283

E-Theory for C*-algebras over topological spaces

Marius Dadarlat·Ralf Meyer
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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.

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Marius Dadarlat, Ralf Meyer. 2009-12-01. E-Theory for C*-algebras over topological spaces. https://doi.org/10.1016/j.jfa.2012.03.022

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