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Titlebook: Operator Algebras and Dynamics: Groupoids, Crossed Products, and Rokhlin Dimension; Aidan Sims,Gábor Szabó,Dana Williams,Francesc Pere Tex

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書目名稱Operator Algebras and Dynamics: Groupoids, Crossed Products, and Rokhlin Dimension
編輯Aidan Sims,Gábor Szabó,Dana Williams,Francesc Pere
視頻videohttp://file.papertrans.cn/703/702300/702300.mp4
概述Gives a general structure of crossed products of C*-algebras.Provides an elementary theory of étale Hausdorff groupoids.Discusses the Rokhlin property and Rokhlin dimension for actions of finite group
叢書名稱Advanced Courses in Mathematics - CRM Barcelona
圖書封面Titlebook: Operator Algebras and Dynamics: Groupoids, Crossed Products, and Rokhlin Dimension;  Aidan Sims,Gábor Szabó,Dana Williams,Francesc Pere Tex
描述This book collects the notes of the lectures given at the Advanced Course on Crossed Products, Groupoids, and Rokhlin dimension, that took place at the Centre de Recerca Matemàtica (CRM) from March 13 to March 17, 2017. The notes consist of three series of lectures. The first one was given by Dana Williams (Dartmouth College), and served as an introduction to crossed products of C*-algebras and the study of their structure. The second series of lectures was delivered by Aidan Sims (Wollongong), who gave an overview of the theory of topological groupoids (as a model for groups and group actions) and groupoid C*-algebras, with particular emphasis on the case of étale groupoids. Finally, the last series was delivered by Gábor Szabó (Copenhagen), and consisted of an introduction to Rokhlin type properties (mostly centered around the work of Hirshberg, Winter and Zacharias) with hints to the more advanced theory related to groupoids.
出版日期Textbook 2020
關鍵詞crossed products; topological groupoid, groupoid C*-algebra; amenability; Rokhlin dimension; nuclear dim
版次1
doihttps://doi.org/10.1007/978-3-030-39713-5
isbn_softcover978-3-030-39712-8
isbn_ebook978-3-030-39713-5Series ISSN 2297-0304 Series E-ISSN 2297-0312
issn_series 2297-0304
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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Introductionvide a useful unifying model for groups and group actions, and equivalence relations induced by continuous maps between topological spaces. They also provide a good algebraic model for the quotient of a topological space by a group or semigroup action in instances where the quotient space itself is,
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Textbook 2020) and groupoid C*-algebras, with particular emphasis on the case of étale groupoids. Finally, the last series was delivered by Gábor Szabó (Copenhagen), and consisted of an introduction to Rokhlin type properties (mostly centered around the work of Hirshberg, Winter and Zacharias) with hints to the more advanced theory related to groupoids.
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Introductionprovide a good algebraic model for the quotient of a topological space by a group or semigroup action in instances where the quotient space itself is, topologically, poorly behaved { for example, the quotient of a shift-space determined by the shift map, or the quotient of the circle by an irrational rotation.
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