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Algebraic actions of the discrete Heisenberg group and other non-abelian groups

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Summary.

B. Kitchens and K. Schmidt studied algebraic \( {\Bbb Z}^d \)-actions on compact abelian groups. Those actions arise as duals of discrete modules. Motivated by Schmidt's book we consider in this paper actions of more general groups, in particular of the discrete Heisenberg group. We generalize the algebraic characterizations of dynamical properties.

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Authors and Affiliations

  1. Universität Wien, Institut für Mathematik, Strudlhofgasse 4, A-1090 Vienna, Austria, e-mail: Manfred.Einsiedler@univie.ac.at, , , , , , AT

    M. Einsiedler

  2. Universität Wien, Institut für Mathematik, Strudlhofgasse 4, A-1090 Vienna, Austria, e-mail: sekrbg@mat.univie.ac.at, , , , , , AT

    H. Rindler

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  1. M. Einsiedler
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  2. H. Rindler
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Received: June 5, 1999; final version: February 3, 2000.

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Einsiedler, M., Rindler, H. Algebraic actions of the discrete Heisenberg group and other non-abelian groups. Aequ. math. 62, 117–135 (2001). https://doi.org/10.1007/PL00000133

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  • DOI: https://doi.org/10.1007/PL00000133

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