| 书目名称 | Lectures on Amenability | | 编辑 | Volker Runde | | 视频video | | | 概述 | Includes supplementary material: | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | The notion of amenability has its origins in the beginnings of modern measure theory: Does a finitely additive set function exist which is invariant under a certain group action? Since the 1940s, amenability has become an important concept in abstract harmonic analysis (or rather, more generally, in the theory of semitopological semigroups). In 1972, B.E. Johnson showed that the amenability of a locally compact group G can be characterized in terms of the Hochschild cohomology of its group algebra L^1(G): this initiated the theory of amenable Banach algebras. Since then, amenability has penetrated other branches of mathematics, such as von Neumann algebras, operator spaces, and even differential geometry. .Lectures on. .Amenability. introduces second year graduate students to this fascinating area of modern mathematics and leads them to a level from where they can go on to read original papers on the subject. Numerous exercises are interspersed in the text. | | 出版日期 | Book 2002 | | 关键词 | Algebra; Cohomology; amenable Banach algebras; amenable and locally compact groups; amenable von Neumann | | 版次 | 1 | | doi | https://doi.org/10.1007/b82937 | | isbn_softcover | 978-3-540-42852-7 | | isbn_ebook | 978-3-540-45560-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 2002 |
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发表于 2025-3-21 20:00:06
