Fuglede-Kadison determinants over free groups and Lehmer's constants

DOI10.5802/cml.79OpenAlexW4309784203MaRDI QIDQ2099399

Fathi Ben Aribi

Publication date: 23 November 2022

Published in: Confluentes Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.03877

zbMATH Keywords

braid groupsFuglede-Kadison determinant\(L^2\)-invariantsLehmer's constants

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Fundamental group, presentations, free differential calculus (57M05) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Linear operators in (C^*)- or von Neumann algebras (47C15) Knot theory (57K10)

Uses Software

• SnapPy
• WolframAlpha

Cites Work

• Unnamed Item
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• Random walks on graphs and approximation of \(L^2\)-invariants
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• TheL²-Alexander torsion of 3-manifolds
• Minimum volume cusped hyperbolic three-manifolds
• Speculations Concerning the Range of Mahler's Measure
• Lehmer’s problem for arbitrary groups
• Mahler measure under variations of the base group
• Gluing formulas for the L2-Alexander torsions
• AN L²-ALEXANDER INVARIANT FOR KNOTS