Journal ArticleDOI
Asymptotic Properties of Unitary Representations and Mixing
Reads0
Chats0
About:
This article is published in Proceedings of The London Mathematical Society.The article was published on 1984-05-01. It has received 55 citations till now. The article focuses on the topics: Circular ensemble & Unitary matrix.read more
Citations
More filters
Book
Global Aspects of Ergodic Group Actions
TL;DR: In this paper, the authors studied the complexity of the classification problems of conjugacy and orbit equivalence of actions, as well as of cohomology of cocycles.
Journal ArticleDOI
Automorphisms of compact groups
Bruce Kitchens,Klaus Schmidt +1 more
TL;DR: In this paper, the descending chain condition for continuous automorphisms of a compact, metrizable group X was introduced, and it was shown that the set of Γ-periodic points is dense in X whenever Γ acts expansively on X and if X is a compact group and (X, Γ) satisfies the descending-chain condition, then every ergodic element of G has a dense set of periodic points.
Book
Rigidity Theorems For Actions Of Product Groups And Countable Borel Equivalence Relations
Greg Hjorth,Alexander S. Kechris +1 more
TL;DR: In this paper, a contribution to the theory of Borel equivalence relations and measure-preserving group actions is made, and it is shown that if the groups involved have a suitable notion of "boundary" (we make this precise with the definition of near hyperbolic), then one orbit-equivalence relation can only be reduced to another if there is some kind of algebraic resemblance between the product groups and coupling of the action.
Journal ArticleDOI
Ergodic Properties of Certain Surjective Cellular Automata
TL;DR: In this article, it was shown that the shift ℤ2-action on a two-dimensional subshift of finite type canonically associated with the cellular automatonT is mixing, if F is both right and left permutative.
Journal ArticleDOI
Normalizers inside Amalgamated Free Product von Neumann Algebras
TL;DR: In this paper, the authors improved this result by removing the spectral gap assumptions and obtaining a simpler proof for the uniqueness of the Cartan subalgebra in L∞(X) o (Γ 1 ∗ Γ 2).