E-theory for -algebras over topological spaces

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• 作者：Marius Dadarlat^a ; ^{mdd@math.purdue.edu} ; Ralf Meyer^b ; ^{meyerr@member.ams.org}
• 关键词：K-theory ; E-theory ; C鈦?/sup>-algebras
• 刊名：Journal of Functional Analysis
• 出版年：2012
• 期刊代码：75_00221236
• 类别：mt
• 出版时间：1 July, 2012
• 卷：263
• 期：1
• 页码：216-247
• 文件大小：288 K

摘要

We define E-theory for separable -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 -algebras over totally disconnected metrisable compact spaces.