Expansiveness of algebraic actions on connected groups-Reference-Cited by-同舟云学术

Expansiveness of algebraic actions on connected groups

Published:2004-06-22 Issue:12 Volume:356 Page:4687-4700
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Bhattacharya Siddhartha

Abstract

We study endomorphism actions of a discrete semigroup Γ \Gamma on a connected group G G . We give a necessary and sufficient condition for expansiveness of such actions provided G G is either a Lie group or a solenoid.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2004-356-12/S0002-9947-04-03590-1/S0002-9947-04-03590-1.pdf

Reference14 articles.

1. The relationship between algebraic numbers and expansiveness of automorphisms on compact abelian groups;Aoki, Nobuo;Fund. Math.,1983

2. Orbit equivalence and topological conjugacy of affine actions on compact abelian groups;Bhattacharya, Siddhartha;Monatsh. Math.,2000

3. Expansive subdynamics;Boyle, Mike;Trans. Amer. Math. Soc.,1997

4. Expansive automorphisms of finite-dimensional vector spaces;Eisenberg, Murray;Fund. Math.,1966

5. Sur les inverses des éléments dérivables dans un anneau abstrait;Hebroni, P.;C. R. Acad. Sci. Paris,1939

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