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Titlebook: Combinatorial Set Theory of C*-algebras; Ilijas Farah Book 2019 Springer Nature Switzerland AG 2019 C*-algebras.Calkin algebra.combinatori

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书目名称Combinatorial Set Theory of C*-algebras
编辑Ilijas Farah
视频video
概述First book on the applications of logic and set theory to operator algebras.Presents dramatic progress on the resolution of several long-standing problems on C*-algebras.Provides a concise guide to th
丛书名称Springer Monographs in Mathematics
图书封面Titlebook: Combinatorial Set Theory of C*-algebras;  Ilijas Farah Book 2019 Springer Nature Switzerland AG 2019 C*-algebras.Calkin algebra.combinatori
描述This book explores and highlights the fertile interaction between logic and operator algebras, which in recent years has led to the resolution of several long-standing open problems on C*-algebras. The interplay between logic and operator algebras (C*-algebras, in particular) is relatively young and the author is at the forefront of this interaction. The deep level of scholarship contained in these pages is evident and opens doors to operator algebraists interested in learning about the set-theoretic methods relevant to their field, as well as to set-theorists interested in expanding their view to the non-commutative realm of operator algebras. Enough background is included from both subjects to make the book a convenient, self-contained source for students.  A fair number of the exercises form an integral part of the text. They are chosen to widen and deepen the material from the corresponding chapters. Some other exercises serve as a warmup for the latter chapters.
出版日期Book 2019
关键词C*-algebras; Calkin algebra; combinatorial set theory; corona algebras; tracial states; irreducible repre
版次1
doihttps://doi.org/10.1007/978-3-030-27093-3
isbn_ebook978-3-030-27093-3Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer Nature Switzerland AG 2019
The information of publication is updating

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-algebras, Abstract, and ConcreteIn this chapter we introduce the abstract C.-algebras and work towards the Gelfand–Naimark–Segal Theorem (Theorem 1.10.1). Along the way we discuss abelian C.-algebras and Gelfand–Naimark and Stone dualities, continuous functional calculus, positivity in C.-algebras, approximate units, and quasi-central approximate units.
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Infinitary Combinatorics IThis chapter is devoted to infinitary combinatorics: Club filter, nonstationary ideal, the pressing down lemma, variants of the .-system lemma, and Kueker’s structure theorem for clubs in ..
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Multiplier Algebras and CoronasIn this chapter we study multiplier algebras and coronas of non-unital C.-algebras. These are the noncommutative analogs of the Čech–Stone compactification and the Čech–Stone remainder, respectively, of a locally compact Hausdorff space.
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