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

Siddhartha Bhattacharya

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

Siddhartha Bhattacharya

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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.

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Siddhartha Bhattacharya. 2001-08-06. Isomorphism rigidity of algebraic $Z^{d}$-actions. https://arxiv.org/abs/math/0108033

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