Abstract
In this paper the metric on the set of mixing actions of a countable infinite group is introduced so that the corresponding space is complete and separable.
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References
S. V. Tikhonov. A complete metric in the set of mixing transformations. Sb. Math. 198 (2007), No. 4, 575–596.
D. S. Ornstein and B. Weiss. Entropy and isomorphism theorems for actions of amenable groups. J. Anal. Math. 48 (1987), 1–141.
S. V. Tikhonov. Mixing transformations with homogeneous spectrum. Sb. Math. 202 (2011), No. 8, 1231–1252.
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The work was completed in the framework of the Program for Support of Leading Scientific Schools of the Russian Federation (grant no. NS-3038.2008.1).
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Tikhonov, S.V. Complete metric on mixing actions of general groups. J Dyn Control Syst 19, 17–31 (2013). https://doi.org/10.1007/s10883-013-9162-y
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DOI: https://doi.org/10.1007/s10883-013-9162-y