Dynamical Systems Arising from Units in Krull Rings
نویسنده
چکیده
To a countable Krull ring R and collection of units ξ1, . . . , ξd ∈ R we associate a Zd–action by automorphisms of the compact abelian group X = R̂. We aim to generalize the framework of an ‘S–integer’ dynamical system as described by Chothi, Everest and Ward. We examine the extent to which some of their results extend to Zd–actions (d ≥ 2) and investigate the relationship between algebraic properties of R and dynamical properties of the associated action.
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