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Titlebook: Crossed Products of C*-Algebras, Topological Dynamics, and Classification; Thierry Giordano,David Kerr,Andrew Toms,Francesc P Textbook 201

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41#
發(fā)表于 2025-3-28 18:31:01 | 只看該作者
42#
發(fā)表于 2025-3-28 22:41:50 | 只看該作者
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
43#
發(fā)表于 2025-3-29 01:37:23 | 只看該作者
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..
44#
發(fā)表于 2025-3-29 04:48:01 | 只看該作者
45#
發(fā)表于 2025-3-29 09:55:03 | 只看該作者
46#
發(fā)表于 2025-3-29 15:15:30 | 只看該作者
47#
發(fā)表于 2025-3-29 18:22:10 | 只看該作者
48#
發(fā)表于 2025-3-29 21:40:58 | 只看該作者
Crossed Products of C*-Algebras, Topological Dynamics, and Classification
49#
發(fā)表于 2025-3-30 00:01:14 | 只看該作者
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.
50#
發(fā)表于 2025-3-30 04:21:39 | 只看該作者
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.
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