標(biāo)題: Titlebook: Combinatorial Set Theory of C*-algebras; Ilijas Farah Book 2019 Springer Nature Switzerland AG 2019 C*-algebras.Calkin algebra.combinatori [打印本頁] 作者: NERVE 時間: 2025-3-21 17:12
書目名稱Combinatorial Set Theory of C*-algebras影響因子(影響力)
書目名稱Combinatorial Set Theory of C*-algebras影響因子(影響力)學(xué)科排名
書目名稱Combinatorial Set Theory of C*-algebras網(wǎng)絡(luò)公開度
書目名稱Combinatorial Set Theory of C*-algebras網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Combinatorial Set Theory of C*-algebras被引頻次
書目名稱Combinatorial Set Theory of C*-algebras被引頻次學(xué)科排名
書目名稱Combinatorial Set Theory of C*-algebras年度引用
書目名稱Combinatorial Set Theory of C*-algebras年度引用學(xué)科排名
書目名稱Combinatorial Set Theory of C*-algebras讀者反饋
書目名稱Combinatorial Set Theory of C*-algebras讀者反饋學(xué)科排名
作者: rheumatism 時間: 2025-3-21 20:49 作者: 最后一個 時間: 2025-3-22 02:36 作者: 孤獨無助 時間: 2025-3-22 07:29
-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.作者: 奇思怪想 時間: 2025-3-22 09:41
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 ..作者: 注意到 時間: 2025-3-22 16:51
Multiplier Algebras and CoronasIn this chapter we study multiplier algebras and coronas of non-unital C.-algebras. These are the noncommutative analogs of the ?ech–Stone compactification and the ?ech–Stone remainder, respectively, of a locally compact Hausdorff space.作者: 注意到 時間: 2025-3-22 20:49 作者: Temporal-Lobe 時間: 2025-3-22 21:28 作者: ureter 時間: 2025-3-23 03:37 作者: aerial 時間: 2025-3-23 06:07 作者: 鎮(zhèn)痛劑 時間: 2025-3-23 12:11
https://doi.org/10.1007/978-3-031-05737-3able set ., is replaced with ., the family of all separable substructures of a nonseparable metric structure .. The latter directed set is .-directed, but not concretely represented, and in some cases only the approximate versions of results studied in Chapter . hold. These approximate versions are 作者: 薄膜 時間: 2025-3-23 16:13
Smart Metering Design and Applicationsve their relative consistency with .. We start with rather standard, brief, and self-contained treatments of the Continuum Hypothesis and Jensen’s . and use . to construct a Suslin tree. The .-complete directed systems of isomorphisms between separable substructures are studied in some detail. The a作者: 過時 時間: 2025-3-23 21:01
Kasun Weranga,Sisil Kumarawadu,D P Chandima structures. The interplay between separability of . (identified with the Cantor space) and countable saturation of . is used to construct several objects witnessing the incompactness of .,such as the independent families, almost disjoint families, and gaps in .. In the latter sections this Boolean 作者: 毛細(xì)血管 時間: 2025-3-23 22:16 作者: 廣告 時間: 2025-3-24 05:11 作者: 軟弱 時間: 2025-3-24 07:01 作者: 逗留 時間: 2025-3-24 10:56 作者: 兇猛 時間: 2025-3-24 16:45
Smart Metropolitan Regional Developmentalgebras (coronas of .-unital, non-unital C.-algebras, ultraproducts associated with a nonprincipal ultrafilter on ., and relative commutants of separable C.-subalgebras of countably degree-1 saturated C.-algebras) have this property. Countable degree-1 saturation subsumes several separation propert作者: Graduated 時間: 2025-3-24 21:33
Smart Metropolitan Regional Developmentchet filter). The Fundamental Theorem of Ultraproducts (?o?’s Theorem) and the corresponding result for reduced products, Ghasemi’s Feferman–Vaught Theorem, are proved for arbitrary metric theories. These theorems are used to prove the countable saturation of ultraproducts associated with countably 作者: 包庇 時間: 2025-3-24 23:41
Combinatorial Set Theory of C*-algebras978-3-030-27093-3Series ISSN 1439-7382 Series E-ISSN 2196-9922 作者: 體貼 時間: 2025-3-25 03:32
Ilijas FarahFirst 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作者: FUME 時間: 2025-3-25 10:18 作者: FLING 時間: 2025-3-25 13:21 作者: ostracize 時間: 2025-3-25 16:04 作者: monogamy 時間: 2025-3-25 23:54 作者: Etymology 時間: 2025-3-26 04:14 作者: bacteria 時間: 2025-3-26 04:58 作者: 鑒賞家 時間: 2025-3-26 12:22 作者: Encapsulate 時間: 2025-3-26 14:15
Book 2019urce 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.作者: Ganglion-Cyst 時間: 2025-3-26 20:30
1439-7382 nding problems on C*-algebras.Provides a concise guide to thThis 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 a作者: Chivalrous 時間: 2025-3-26 22:45 作者: 手銬 時間: 2025-3-27 03:57
Yi Wang,Qixin Chen,Chongqing Kangns. We prove the Kadison Transitivity Theorem and its generalization due to Glimm–Kadison. After studying pure states and equivalence relations on the space of pure states of a C.-algebra (unitary/spatial equivalence and conjugacy by an automorphism), we conclude with a study of the second dual of a C.-algebra.作者: ASSET 時間: 2025-3-27 09:03 作者: 褪色 時間: 2025-3-27 10:08
Anforderungen aus dem BSI Schutzprofilnd pure states of a C.-algebra. The maximal quantum filters are used to study extensions of pure states. The chapter concludes with a proof of the Kishiomoto–Ozawa–Sakai theorem on the homogeneity of the pure state space of separable C.-algebras.作者: landfill 時間: 2025-3-27 16:08
Examples and Constructions of ,-algebrasgebras and .-homomorphisms between them are classified by Bratteli diagrams. Universal C.-algebras given by generators and relations are studied in some detail. After a discussion of automorphisms of C.-algebras, we conclude with a section on C.-algebras of real rank zero.作者: 步兵 時間: 2025-3-27 20:36
Representations of ,-algebrasns. We prove the Kadison Transitivity Theorem and its generalization due to Glimm–Kadison. After studying pure states and equivalence relations on the space of pure states of a C.-algebra (unitary/spatial equivalence and conjugacy by an automorphism), we conclude with a study of the second dual of a C.-algebra.作者: 催眠 時間: 2025-3-28 00:42
Tracial States and Representations of ,-algebras. We give basic norm estimates for the elements of a group algebra and present basics of Powers groups and criteria for simplicity of reduced group C.-algebras. The chapter concludes with a study of normalizers of diffuse masas.作者: SNEER 時間: 2025-3-28 02:10 作者: 混亂生活 時間: 2025-3-28 08:40 作者: 業(yè)余愛好者 時間: 2025-3-28 11:48 作者: excursion 時間: 2025-3-28 18:15
Advances in 21st Century Human Settlementsepresentation of a countable, amenable, group in the Calkin algebra is unitarizable. Using a Luzin family, one defines a uniformly bounded, non-unitarizable, representation of . in the Calkin algebra. This example yields an amenable operator algebra not isomorphic to a C.-algebra. This is a result of the author, Choi, and Ozawa.作者: florid 時間: 2025-3-28 22:47
Book 2019ral 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 alg作者: Definitive 時間: 2025-3-29 01:14
Infinitary Combinatorics II: The Metric Caseused to reflect properties of large C.-algebras to their separable subalgebras and prove that algebras indistinguishable by any of the standard K-theoretic invariants are not isomorphic. The spaces of models—both discrete and metric—are studied in Section 7.1. Proposition 7.2.9 is a metric variant of the Pressing Down Lemma.作者: 轎車 時間: 2025-3-29 04:41
Additional Set-Theoretic Axiomsxiom asserting that a Polish space cannot be covered by fewer than . meagre subsets is used to construct a selective ultrafilter on .. The chapter ends with a discussion of the Ramseyan axiom . and some of its applications.作者: Legend 時間: 2025-3-29 11:17
Gaps and Incompactnessepresentation of a countable, amenable, group in the Calkin algebra is unitarizable. Using a Luzin family, one defines a uniformly bounded, non-unitarizable, representation of . in the Calkin algebra. This example yields an amenable operator algebra not isomorphic to a C.-algebra. This is a result of the author, Choi, and Ozawa.作者: Little 時間: 2025-3-29 13:41
Kasun Weranga,Sisil Kumarawadu,D P Chandimaasics of the Tukey ordering of directed sets are presented in Section 9.6. We prove that two directed sets are cofinally equivalent if and only if they are isomorphic to cofinal subsets of some directed set. We study the directed set ., the associated small cardinals . and ., and two directed sets c作者: aqueduct 時間: 2025-3-29 16:16 作者: 內(nèi)部 時間: 2025-3-29 21:11
Smart Metropolitan Regional Developmentt every uniformly bounded representation of a countable amenable group into such C.-algebra is unitarizable (Section 15.4.1; this fails for uncountable groups, Section .), and that such C.-algebras admit a poor man’s version of Borel functional calculus that generalizes the Brown–Douglas–Fillmore “S作者: Matrimony 時間: 2025-3-30 01:21
Smart Metropolitan Regional Development to the Continuum Hypothesis. In order to keep the cardinality of the set of pages of this text within reasonable limits the proof of the converse is only outlined). The chapter ends with theorems due to Ge–Hadwin and the author, Hart, and Sherman, in which a large number of (outer) automorphisms of作者: muscle-fibers 時間: 2025-3-30 05:24
Set Theory and Quotientsasics of the Tukey ordering of directed sets are presented in Section 9.6. We prove that two directed sets are cofinally equivalent if and only if they are isomorphic to cofinal subsets of some directed set. We study the directed set ., the associated small cardinals . and ., and two directed sets c作者: Reverie 時間: 2025-3-30 11:00
The Calkin Algebranuum Hypothesis is used to construct nondiagonalizable pure states on ., refuting a conjecture of Anderson and giving a negative answer to a problem of Kadison and Singer; this is a theorem of Akemann and Weaver. We offer additional proofs of this theorem from two weakenings of the Continuum Hypothe作者: 細(xì)頸瓶 時間: 2025-3-30 16:01
Degree-1 Saturationt every uniformly bounded representation of a countable amenable group into such C.-algebra is unitarizable (Section 15.4.1; this fails for uncountable groups, Section .), and that such C.-algebras admit a poor man’s version of Borel functional calculus that generalizes the Brown–Douglas–Fillmore “S作者: 修正案 時間: 2025-3-30 18:04 作者: IRATE 時間: 2025-3-30 21:48
