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New York Journal of Mathematics
Volume 31 (2025), 1165-1194

  

David Handelman

Another invariant for AT actions

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Published: August 4, 2025.
Keywords: approximately transitive action, tensor product of actions, variance.
Subject [2020]: Primary 28D05; Secondary 37A99, 46L10.

Abstract
We construct a collection of numerical invariants for approximately transitive (AT) actions (of Z). We use them (sometimes supplemented by other invariants) to show that members of various one-parameter families of AT actions are mutually non-isomorphic. In particular, we construct continua of AT systems that are not conjugate to their inverses.

Acknowledgements

N/A


Author information

David Handelman
Mathematics Department
University of Ottawa
Ottawa ON K1S 2H8, Canada

rochelle2@sympatico.ca