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Titlebook: Operator Algebras and Applications; The Abel Symposium 2 Toke M. Carlsen,Nadia S. Larsen,Christian Skau Conference proceedings 2016 Springe

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发表于 2025-3-21 18:16:28 | 显示全部楼层 |阅读模式
书目名称Operator Algebras and Applications
副标题The Abel Symposium 2
编辑Toke M. Carlsen,Nadia S. Larsen,Christian Skau
视频video
丛书名称Abel Symposia
图书封面Titlebook: Operator Algebras and Applications; The Abel Symposium 2 Toke M. Carlsen,Nadia S. Larsen,Christian Skau Conference proceedings 2016 Springe
描述.Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras. It is interesting to see the remarkable advances that have been made in operator algebras over these years, which strikingly illustrate the vitality of the field. A total of 26 talks were given at the symposium on a variety of themes, all highlighting the richness of the subject..The field of operator algebras was created in the 1930s and was motivated by problems of quantum mechanics. It has subsequently developed well beyond its initial intended realm of applications and expanded into such diverse areas of mathematics as representation theory, dynamical systems, differential geometry, number theory and quantum algebra. One branch, known as “noncommutative geometry”, has become a powerful tool for studying phenomena that are beyond the reach of classical analysis..This volume includes research papers that present new results, surveys that discuss the development of a specific line of research, and articles that offer a combination of survey and research. These contributions provide a multifaceted portrait of beautiful mathematics that both newcomers to the field of operator algebras
出版日期Conference proceedings 2016
关键词Abel Symposium; K-Theory; dynamical systems; operator algebras; subfactor theory; quantum groups
版次1
doihttps://doi.org/10.1007/978-3-319-39286-8
isbn_softcover978-3-319-81858-0
isbn_ebook978-3-319-39286-8Series ISSN 2193-2808 Series E-ISSN 2197-8549
issn_series 2193-2808
copyrightSpringer International Publishing Switzerland 2016
The information of publication is updating

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,C∗-Tensor Categories and Subfactors for Totally Disconnected Groups,the planar algebra associated by Jones and Burstein to a group acting on a locally finite bipartite graph. We then concretely realize . as the category of bimodules generated by a hyperfinite subfactor.
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,Semigroup C∗-Algebras,ting examples from number theory and group theory. We explain the construction of semigroup C*-algebras, introduce the basic underlying algebraic objects, define two important conditions called Toeplitz condition and independence, and present results concerning amenability and nuclearity, K-theory, and classification.
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QDQ vs. UCT,gularity conjecture and the classification problem for separable, simple, nuclear C.-algebras. Moreover, it entails a positive solution to Rosenberg’s conjecture on quasidiagonality of reduced C.-algebras of discrete amenable groups. This note is largely based on a joint paper with Aaron Tikuisis and Stuart White.
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,C∗-Algebras Associated with Algebraic Actions,igroup of the ring of integers in an algebraic number field, or more generally of a Dedekind ring, on its additive group. Representations of such actions give rise to particularly intriguing problems and the study of the corresponding C*-algebras has motivated many of the new methods and general results obtained in this area.
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,Topological Full Groups of Étale Groupoids,mplicity of commutator subgroups, abelianization, finite generation, cohomological finiteness properties, amenability, the Haagerup property, and so on. Homology groups of étale groupoids, groupoid ..-algebras and their .-groups are also investigated.
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