Almost, Asymptotic and Fredholm Representations of Discrete Groups
Almost, Asymptotic and Fredholm Representations of Discrete Groups
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离散群的近似、渐近和 Fredholm 表示
DOI：
10.1023/a:1012077015181
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
A. Mishchenko
中科院分区：
文献类型：
--
作者：
V. Manuilov;A. Mishchenko
群的几乎表示是从这个群到希尔伯特空间的酉群的映射，使得群关系仅近似成立。我们给出了一个调查最近的结果几乎表示和渐近表示的关系。应用K-理论的分类空间进行了讨论。
An almost representation of a group is a map from this group into the unitary group of a Hilbert space, such that the group relations hold only approximately. We give a survey of the recent results on almost representations and on their relations to asymptotic representations. Applications to K-theory of classifying spaces are also discussed.