Dynamical systems arising from units in Krull rings

  title={Dynamical systems arising from units in Krull rings},
  author={Richard Miles},
  journal={aequationes mathematicae},
  • R. Miles
  • Published 1 February 2001
  • Mathematics
  • aequationes mathematicae
Summary. To a countable Krull ring R and units $ \xi_1,\dots,\xi_d \in R $ we associate a $ {Bbb Z}^d $-action by automorphisms of the compact abelian group $ \widehat{R} $. This generalizes the 'S-integer' dynamical systems described by Chothi, Everest and Ward. We examine the extent to which some of their results extend and investigate the relationship between algebraic properties of R and dynamical properties of the associated action.  
1 Citations


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I would like to express my thanks to the Canadian Mathematical Society for inviting me to present this lecture. I would also like to express my appreciation to C.J. Smyth for numerous helpful