Isomorphism rigidity of algebraic $Z^{d}$-actions

Siddhartha Bhattacharya

Isomorphism rigidity of algebraic $Z^{d}$-actions

Dynamical Systems 2007-05-23 v1

Authors: Siddhartha Bhattacharya

Abstract

An algebraic $Z^{d}$ -action is an action of $Z^{d}$ on a compact abelian group $X$ by automorphisms of $X$ . We prove that for $d \ge 8$ , there exist mixing zero entropy algebraic $Z^{d}$ -actions which do not exhibit isomorphism rigidity property.

Keywords

group actions group actions on manifolds algebraic group actions

Cite

@article{arxiv.math/0108033,
  title  = {Isomorphism rigidity of algebraic $Z^{d}$-actions},
  author = {Siddhartha Bhattacharya},
  journal= {arXiv preprint arXiv:math/0108033},
  year   = {2007}
}

Comments

10 pages

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