Semisimple extensions of irrational rotations

Mariusz Lemańczyk; Mieczysław K. Mentzen; Hitoshi Nakada

Displaying similar documents to “Semisimple extensions of irrational rotations”

On group extensions of 2-fold simple ergodic actions

Artur Siemaszko (1994)

Studia Mathematica

Similarity:

Compact group extensions of 2-fold simple actions of locally compact second countable amenable groups are considered. It is shown what the elements of the centralizer of such a system look like. It is also proved that each factor of such a system is determined by a compact subgroup in the centralizer of a normal factor.

The rhombic dodecahedron and semisimple actions of Aut(Fₙ) on CAT(0) spaces

Martin R. Bridson (2011)

Fundamenta Mathematicae

Similarity:

We consider actions of automorphism groups of free groups by semisimple isometries on complete CAT(0) spaces. If n ≥ 4 then each of the Nielsen generators of Aut(Fₙ) has a fixed point. If n = 3 then either each of the Nielsen generators has a fixed point, or else they are hyperbolic and each Nielsen-generated ℤ⁴ ⊂ Aut(F₃) leaves invariant an isometrically embedded copy of Euclidean 3-space 𝔼³ ↪ X on which it acts as a discrete group of translations with the rhombic dodecahedron...

The action of groups on real factors of type III $_{λ}$ , $λ \neq 1$ .

Rakhimov, A.A. (2004)

Zapiski Nauchnykh Seminarov POMI

Similarity:

Mixing of all orders of Lie groups actions (Erratum).

Shahar Mozes (1995)

Inventiones mathematicae

Similarity:

Mixing of all orders of Lie groups actions.

Shahar Mozes (1992)

Inventiones mathematicae

Similarity:

Semisimplicity, joinings and group extensions

A. Del Junco, M. Lemańczyk, M. Mentzen (1995)

Studia Mathematica

Similarity:

We present a theory of self-joinings for semisimple maps and their group extensions which is a unification of the following three cases studied so far: (iii) Gaussian-Kronecker automorphisms: [Th], [Ju-Th]. (ii) MSJ and simple automorphisms: [Ru], [Ve], [Ju-Ru]. (iii) Group extension of discrete spectrum automorphisms: [Le-Me], [Le], [Me].

Almost block independence and Bernoullicity of Zd-actions by automorphisms of compact abelian groups.

Klaus Schmidt, Daniel J. Rudolph (1995)

Inventiones mathematicae

Similarity:

A - finite actions and their automorphism groups.

S. Rankin, C. Reis (1982)

Semigroup forum

Similarity:

Mixing automorphisms of compact groups and a theorem of Schlickewei.

Klaus Schmidt, Tom Ward (1993)

Inventiones mathematicae

Similarity:

Natural Extensions and Mixing for Semi-Group Actions

Y. Lacroix (1995)

Publications mathématiques et informatique de Rennes

Similarity:

Amenable actions of nonamenable groups.

Grigorchuk, R.I., Nekrashevych, V.Yu. (2005)

Zapiski Nauchnykh Seminarov POMI

Similarity:

C*-actions.

Andrew John Sommese, James B. Carrell (1978)

Mathematica Scandinavica

Similarity:

Local rigidity of actions of higher rank abelian groups and KAM method.

Damjanović, Danijela, Katok, Anatole (2004)

Electronic Research Announcements of the American Mathematical Society [electronic only]

Similarity:

Linear extensions of orders invariant under abelian group actions

Alexander R. Pruss (2014)

Colloquium Mathematicae

Similarity:

Let G be an abelian group acting on a set X, and suppose that no element of G has any finite orbit of size greater than one. We show that every partial order on X invariant under G extends to a linear order on X also invariant under G. We then discuss extensions to linear preorders when the orbit condition is not met, and show that for any abelian group acting on a set X, there is a linear preorder ≤ on the powerset 𝓟X invariant under G and such that if A is a proper subset of B, then...