Expansiveness of algebraic actions on connected groups

Author:
Siddhartha Bhattacharya

Journal:
Trans. Amer. Math. Soc. **356** (2004), 4687-4700

MSC (2000):
Primary 37B05; Secondary 54H20

DOI:
https://doi.org/10.1090/S0002-9947-04-03590-1

Published electronically:
June 22, 2004

MathSciNet review:
2084394

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Abstract | References | Similar Articles | Additional Information

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

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Additional Information

**Siddhartha Bhattacharya**

Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Mumbai 400005, India

Email:
siddhart@math.tifr.res.in

DOI:
https://doi.org/10.1090/S0002-9947-04-03590-1

Keywords:
Expansive action,
Lie group,
solenoid

Received by editor(s):
September 6, 2000

Received by editor(s) in revised form:
April 19, 2001

Published electronically:
June 22, 2004

Article copyright:
© Copyright 2004
American Mathematical Society