The relative Dixmier property in discrete crossed products
نویسندگان
چکیده
منابع مشابه
The Completely Bounded Approximation Property for Discrete Crossed Products
We consider the relationship between the Haagerup constants for a C-algebra and its crossed product by an amenable group. We prove equality when the group is discrete, and deduce equality when the group is compact and abelian.
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 کاملDiscrete Product Systems and Twisted Crossed Products by Semigroups
A product system E over a semigroup P is a family of Hilbert spaces {Es : s ∈ P} together with multiplications Es×Et → Est. We view E as a unitary-valued cocycle on P , and consider twisted crossed products A⋊β,EP involving E and an action β of P by endomorphisms of a C∗-algebra A. When P is quasi-lattice ordered in the sense of Nica, we isolate a class of covariant representations of E, and co...
متن کاملFrom Dixmier Algebras to Star Products
Let M be a Galois cover of a nilpotent coadjoint orbit of a complex semisimple Lie group. We define the notion of a perfect Dixmier algebra for M and show how this produces a graded (non-local) equivariant star product on M with several very nice properties. This is part of a larger program we have been developing for working out the orbit method for nilpotent orbits.
متن کاملStable and Real Rank for Crossed Products by Automorphisms with the Tracial Rokhlin Property
We introduce the tracial Rokhlin property for automorphisms of stably finite simple unital C*-algebras containing enough projections. This property is formally weaker than the various Rokhlin properties considered by Herman and Ocneanu, Kishimoto, and Izumi. Our main results are as follows. Let A be a stably finite simple unital C*-algebra, and let α be an automorphism of A which has the tracia...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1986
ISSN: 0022-1236
DOI: 10.1016/0022-1236(86)90110-2