Fuglede-Kadison determinants and entropy for actions of discrete amenable groups

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dc.creatorDeninger, Christopher
dc.date2005-02-11
dc.date.accessioned2026-07-07T05:16:54Z
dc.date.available2026-07-07T05:16:54Z
dc.descriptionIn 1990, Lind, Schmidt and Ward gave a formula for the entropy of certain $\mathbb{Z}^n$-dynamical systems attached to Laurent polynomials $P$, in terms of the (logarithmic) Mahler measure of $P$. We extend the expansive case of their result to the noncommutative setting where $\mathbb{Z}^n$ gets replaced by suitable discrete amenable groups. Generalizing the Mahler measure, Fuglede-Kadison determinants from the theory of group von Neumann algebras appear in the entropy formula.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math/0502233
dc.identifierhttp://arxiv.org/abs/math/0502233
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74158
dc.subjectDynamical Systems
dc.subjectOperator Algebras
dc.subject22D25; 37A35; 37B40; 46Lxx
dc.titleFuglede-Kadison determinants and entropy for actions of discrete amenable groups
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