The Koopman Representation and Positive Rokhlin Entropy
نویسندگان
چکیده
Abstract In this paper, we study connections between positive entropy phenomena and the Koopman representation for actions of general countable groups. Following line work initiated by Hayes sofic entropy, show in a certain precise manner that all must come from portions embed into left-regular representation. We conclude having completely outer be isomorphic to direct sum This generalizes theorem Dooley–Golodets amenable As final consequence, observe with mixing, when group is non-amenable they strongly ergodic have spectral gap.
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2021
ISSN: ['1687-0247', '1073-7928']
DOI: https://doi.org/10.1093/imrn/rnab268