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

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

2001-08-06

arxiv.org/abs/math/0108033v1

Mathematics

Dynamical Systems

10 pages

Scientific paper

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.

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