Mahler measures and Fuglede--Kadison determinants

zbMath1245.11107arXiv0905.0604MaRDI QIDQ3655959

Christopher Deninger

Publication date: 13 January 2010

Full work available at URL: https://arxiv.org/abs/0905.0604

zbMATH Keywords

entropyMahler measurediscrete groupsFuglede-Kadison determinants

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (8)

Combinatorial independence and sofic entropy ⋮ Joint spectrum and the infinite dihedral group ⋮ Survey on L2‐invariants and 3‐manifolds ⋮ Compact group automorphisms, addition formulas and Fuglede-Kadison determinants ⋮ Homoclinic groups, IE groups, and expansive algebraic actions ⋮ A new formula for Mahler's measure ⋮ Evaluating the Mahler measure of linear forms via the Kronecker limit formula on complex projective space ⋮ Entropy, determinants, and $L^2$-torsion

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