Determinants on von Neumann algebras, Mahler measures and Ljapunov exponents

DOI10.1515/CRELLE.2011.012zbMath1220.46038arXiv0712.0667OpenAlexW2964136760MaRDI QIDQ3081166

Christopher Deninger

Publication date: 11 March 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.0667

zbMATH Keywords

von Neumann algebraLyapunov exponentFuglede-Kadison determinant

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Related Items (5)

Lehmer’s problem for arbitrary groups ⋮ A survey of algebraic actions of the discrete Heisenberg group ⋮ Compact group automorphisms, addition formulas and Fuglede-Kadison determinants ⋮ Binary Constant-Length Substitutions and Mahler Measures of Borwein Polynomials ⋮ Fuglede-Kadison determinants for operators in the von Neumann algebra of an equivalence relation

Cites Work

• Determinant theory in finite factors
• Brown measure and iterates of the Aluthge transform for some operators arising from measurable actions
• Expansive algebraic actions of discrete residually finite amenable groups and their entropy
• Fuglede–Kadison determinants and entropy for actions of discrete amenable groups

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