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.
Bowen-Franks groups as conjugacy invariants for $\mathbb{T}^{n}$ automorphisms
Rigidity of measurable structure for Z^d-actions by automorphisms of a torus
Ergodicity of algebraic actions of nilpotent groups
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