منابع مشابه
Characterisations of Crossed Products by Partial Actions
Partial actions of discrete groups on C∗-algebras and the associated crossed products have been studied by Exel and McClanahan. We characterise these crossed products in terms of the spectral subspaces of the dual coaction, generalising and simplifying a theorem of Exel for single partial automorphisms. We then use this characterisation to identify the Cuntz algebras and the Toeplitz algebras o...
متن کاملResidually Finite Actions and Crossed Products
We study a notion of residual finiteness for continuous actions of discrete groups on compact Hausdorff spaces and how it relates to the existence of norm microstates for the reduced crossed product. Our main result asserts that an action of a free group on a zero-dimensional compact metrizable space is residually finite if and only if its reduced crossed product admits norm microstates, i.e., ...
متن کاملCrossed Products by C 0 (x)-actions
Suppose that G has a representation group H , that Gab := G/[G,G] is compactly generated, and that A is a C∗-algebra for which the complete regularization of Prim(A) is a locally compact Hausdorff space X . In a previous article, we showed that there is a bijection α 7→ (Zα, fα) between the collection of exterior equivalence classes of locally inner actions α : G → Aut(A), and the collection of...
متن کاملCrossed Products by Finite Group Actions with the Rokhlin Property
We prove that a number of classes of separable unital C*-algebras are closed under crossed products by finite group actions with the Rokhlin property, including: • AI algebras, AT algebras, and related classes characterized by direct limit decompositions using semiprojective building blocks. • Simple unital AH algebras with slow dimension growth and real rank zero. • C*-algebras with real rank ...
متن کاملC-crossed Products by Twisted Inverse Semigroup Actions
The notions of Busby-Smith and Green type twisted actions are extended to discrete unital inverse semigroups. The connection between the two types, and the connection with twisted partial actions, are investigated. Decomposition theorems for the twisted crossed products are given. 1991 Mathematics Subject Classification. Primary 46L55.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1998
ISSN: 0022-1236
DOI: 10.1006/jfan.1998.3295