標題: Titlebook: Crossed Products of C*-Algebras, Topological Dynamics, and Classification; Thierry Giordano,David Kerr,Andrew Toms,Francesc P Textbook 201 [打印本頁] 作者: 平凡人 時間: 2025-3-21 19:03
書目名稱Crossed Products of C*-Algebras, Topological Dynamics, and Classification影響因子(影響力)
書目名稱Crossed Products of C*-Algebras, Topological Dynamics, and Classification影響因子(影響力)學科排名
書目名稱Crossed Products of C*-Algebras, Topological Dynamics, and Classification網(wǎng)絡(luò)公開度
書目名稱Crossed Products of C*-Algebras, Topological Dynamics, and Classification網(wǎng)絡(luò)公開度學科排名
書目名稱Crossed Products of C*-Algebras, Topological Dynamics, and Classification被引頻次
書目名稱Crossed Products of C*-Algebras, Topological Dynamics, and Classification被引頻次學科排名
書目名稱Crossed Products of C*-Algebras, Topological Dynamics, and Classification年度引用
書目名稱Crossed Products of C*-Algebras, Topological Dynamics, and Classification年度引用學科排名
書目名稱Crossed Products of C*-Algebras, Topological Dynamics, and Classification讀者反饋
書目名稱Crossed Products of C*-Algebras, Topological Dynamics, and Classification讀者反饋學科排名
作者: defibrillator 時間: 2025-3-21 22:25
Structure of the Cuntz Semigroupitions on your .*-algebra. For this section, we restrict our attention to unital simple separable .*-algebras which have strict comparison of positive elements. In light of Example 2.0.5, we will also assume that our algebra is stably finite, since the Cuntz semigroup is otherwise degenerate. This m作者: WAG 時間: 2025-3-22 01:10
Elliott’s Programigroup V(.) under the Grothendieck map, . is the subset of K. corresponding to projections in ., T.(.) is the space of positive tracial linear functionals on ., and . is the natural pairing of T.(.) and K. given by evaluating a trace at a K.-class. The reader is referred to R?rdam’s monograph [27] f作者: 拒絕 時間: 2025-3-22 07:14 作者: 完整 時間: 2025-3-22 11:04 作者: altruism 時間: 2025-3-22 14:50 作者: altruism 時間: 2025-3-22 17:15 作者: ANT 時間: 2025-3-22 21:54 作者: FEAT 時間: 2025-3-23 05:26 作者: 有權(quán)威 時間: 2025-3-23 07:36
Introductionompact spaces, especially in connection with the classification program for separable nuclear .*-algebras. Groups and group actions have from the beginning provided a rich source of examples in the theory of operator algebras, and the struggle to obtain an algebraic understanding of dynamical phenom作者: pester 時間: 2025-3-23 10:08
Internal Measure-Theoretic Phenomenae. It plays a pivotal role not only in combinatorial and geometric group theory but also in the theory of operator algebras through its various linear manifestations like hyperfiniteness, semidiscreteness, injectivity, and nuclearity. In this section we will review the theory of amenability for disc作者: 修改 時間: 2025-3-23 15:09
Internal Topological Phenomenaw, for discrete groups the topological notion of perturbation is trivial and thus, unlike the combinatorial measure-theoretic viewpoint, does not give us anything new beyond the merely group-theoretic. The group . is said to be . if every finite subset of . generates a finite subgroup. Equivalently,作者: 步兵 時間: 2025-3-23 18:11
Phoebe Koundouri,Nikos A. PapandreouHere, we introduce the basic theory of the Cuntz semigroup. Any proofs not contained in these notes can be found in Ara–Brown–Guido–Lledo–Perera–Toms [1], but no originality is claimed there. Most of the results here are due to Cuntz [9], Kirchberg–R?rdam [17], and R?rdam [26]. We assume that all .*-algebras are separable unless otherwise noted.作者: 豪華 時間: 2025-3-23 23:26 作者: Baffle 時間: 2025-3-24 05:28
Graduate Students Becoming ScientistsThis is the first of three sections devoted to examples of group actions..In this section, we give examples of actions on commutative C*-algebras. In Section 8.2 we give a variety of examples of actions on noncommutative C*- algebras, and in Section 8.3 we give an additional collection of examples of actions that are similar to gauge actions.作者: exophthalmos 時間: 2025-3-24 07:51 作者: 遺傳 時間: 2025-3-24 13:33 作者: 過時 時間: 2025-3-24 15:19
Nuts and Bolts: Proof SketchesIn this section we take some of the salient results of the preceding section and show more or less how they are proved. We shall take for granted, however, Winter’s locally finite nuclear dimension theorem; a full proof is well beyond the scope of these notes.作者: 輪流 時間: 2025-3-24 20:32 作者: 匍匐 時間: 2025-3-25 00:27
External Measure-Theoretic PhenomenaAs discussed in Section 14.1, for discrete groups the basic idea of internal measuretheoretic finite approximation is captured by the F?lner set characterization of amenability. At the same time we can view F?lner sets as furnishing external finite approximations in the following way. Let . be a nonempty finite subset of a discrete group ..作者: Connotation 時間: 2025-3-25 06:26
Introduction forefront of research on .*-algebra classification. In order to motivate its introduction we return to the roots of the theory of operator algebras, and to the type classification of factors in particular.作者: Inordinate 時間: 2025-3-25 10:46 作者: 傻 時間: 2025-3-25 13:00
978-3-319-70868-3Springer International Publishing AG, part of Springer Nature 2018作者: Vsd168 時間: 2025-3-25 17:40 作者: Electrolysis 時間: 2025-3-25 22:48 作者: LAST 時間: 2025-3-26 02:11
forefront of research on .*-algebra classification. In order to motivate its introduction we return to the roots of the theory of operator algebras, and to the type classification of factors in particular.作者: ENDOW 時間: 2025-3-26 08:14 作者: 使入迷 時間: 2025-3-26 09:24
P. Koundouri,M. Stithou,P. Melissourgosigroup V(.) under the Grothendieck map, . is the subset of K. corresponding to projections in ., T.(.) is the space of positive tracial linear functionals on ., and . is the natural pairing of T.(.) and K. given by evaluating a trace at a K.-class. The reader is referred to R?rdam’s monograph [27] f作者: HUMID 時間: 2025-3-26 14:10 作者: 空氣 時間: 2025-3-26 19:32 作者: companion 時間: 2025-3-26 22:56 作者: Hangar 時間: 2025-3-27 03:00 作者: 戰(zhàn)勝 時間: 2025-3-27 08:47
Collaborations, Teams and Networkshomeomorphisms (actions of ?). We give two simplicity proofs, using very different methods. One works for free minimal actions, and the method gives further information, as well as some information when the action is not minimal; see Theorems 11.1.20 and 11.1.22. The second proof is a special case o作者: Callus 時間: 2025-3-27 11:58 作者: discord 時間: 2025-3-27 16:37
Weathering: Intensity and Rate,ompact spaces, especially in connection with the classification program for separable nuclear .*-algebras. Groups and group actions have from the beginning provided a rich source of examples in the theory of operator algebras, and the struggle to obtain an algebraic understanding of dynamical phenom作者: 圍裙 時間: 2025-3-27 20:47
The Wearing Away of Continents,e. It plays a pivotal role not only in combinatorial and geometric group theory but also in the theory of operator algebras through its various linear manifestations like hyperfiniteness, semidiscreteness, injectivity, and nuclearity. In this section we will review the theory of amenability for disc作者: Spinal-Fusion 時間: 2025-3-27 23:55 作者: colony 時間: 2025-3-28 03:12
Crossed Products of C*-Algebras, Topological Dynamics, and Classification978-3-319-70869-0Series ISSN 2297-0304 Series E-ISSN 2297-0312 作者: Ordnance 時間: 2025-3-28 10:13 作者: Ardent 時間: 2025-3-28 11:57
Introduction and Motivation some of the relevant lemmas are proved, but we refer to the research papers for the full proofs. Other results and calculations are left as exercises; the reader is strongly encouraged to do many of these, to develop facility with the material. Yet other results, needed for the proofs of the theore作者: 清醒 時間: 2025-3-28 18:31 作者: 胰島素 時間: 2025-3-28 22:41
Internal Topological Phenomenatwo monomorphisms of a finite group into . are conjugate by an inner automorphism [47]. Note that every locally finite group is torsion. The converse is the general Burnside problem and is false, as was shown by Golod. In fact a torsion group need not even be amenable, which is the measure-theoretic作者: DENT 時間: 2025-3-29 01:37
Textbook 2018using on internal and external approximation concepts, both for groups and C*-algebras. Finally, the last series of lectures, delivered by Thierry Giordano, is devoted to the theory of topological orbit equivalence, with particular attentionto the classification of minimal actions by finitely generated abelian groups on the Cantor set..作者: Gobble 時間: 2025-3-29 04:48 作者: 飾帶 時間: 2025-3-29 09:55 作者: 感情 時間: 2025-3-29 15:15 作者: Inscrutable 時間: 2025-3-29 18:22 作者: Anthrp 時間: 2025-3-29 21:40
Crossed Products of C*-Algebras, Topological Dynamics, and Classification作者: 遭受 時間: 2025-3-30 00:01
An Introduction to Large Subalgebras and Applications to Crossed Productsassumes much more background than these notes (it starts with the material here), there are some differences in the organization, and it contains some open problems and other discussion omitted here because they are too far off the topic of these notes.作者: Enteropathic 時間: 2025-3-30 04:21
Internal Measure-Theoretic Phenomena manifestations like hyperfiniteness, semidiscreteness, injectivity, and nuclearity. In this section we will review the theory of amenability for discrete groups (see [34, 76] for general references), and then move in Section 14.2 to amenable actions and their reduced crossed products.作者: 的事物 時間: 2025-3-30 08:46
eans that our algebra admits at least one normalized 2-quasitrace (which will be a trace if the algebra is exact). The material covered in this section can be found in Brown–Perera–Toms [4] and Brown–Toms [5].作者: nuclear-tests 時間: 2025-3-30 13:36
P. Koundouri,M. Stithou,P. Melissourgosor a detailed treatment of this invariant. In the case of a unital .*-algebra, the invariant becomes ., where [1.] is the K.-class of the unit, and T(.) is the (compact convex) space of tracial states. We will concentrate on unital .*-algebras in the sequel in order to limit technicalities.作者: acrimony 時間: 2025-3-30 18:23
P. Koundouri,M. Stithou,P. Melissourgos In this section we will introduce and discuss a conjectural version of such a principle, one that has significant evidence to support it. The conjecture relates three regularity properties for .*-algebras which we introduce presently.作者: 拱形大橋 時間: 2025-3-30 22:37
Novice Scientists and Expert Scientists results, such as stable rank one, real rank zero, order on traces determined by projections, strict comparison of positive elements, or .-stability. Some results with conclusions of this sort are stated in these notes, but mostly without proof.作者: 字形刻痕 時間: 2025-3-31 01:12 作者: motor-unit 時間: 2025-3-31 06:08 作者: 嘮叨 時間: 2025-3-31 11:37 作者: 北極人 時間: 2025-3-31 13:48
