On a family of unitary representations of mapping class groups

DOI10.4171/GGD/634MaRDI QIDQ2076078

Biao Ma

Publication date: 18 February 2022

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.01326

zbMATH Keywords

unitary representationsmapping class groupsmeasured foliationsweak containmentalmost invariant vectorsalmost properly discontinuous

Mathematics Subject Classification ID

Geometric group theory (20F65) Ergodic theory on groups (22D40) Unitary representations of locally compact groups (22D10) Automorphism groups of groups (20F28)

Cites Work

• Unnamed Item
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• \(C^*\)-simplicity and the unique trace property for discrete groups
• Invariant Radon measures on measured lamination space
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• Geodesics with bounded intersection number on surfaces are sparsely distributed
• Interval exchange transformations and measured foliations
• Actions and irreducible representations of the mapping class group
• Dynamics on Thurston's sphere of projective measured foliations
• Mapping class groups and outer automorphism groups of free groups are \(C^{*}\)-simple
• On the first \(L^p\)-cohomology of discrete groups.
• Growth of the number of simple closed geodesics on hyperbolic surfaces
• Moyennes invariantes et représentations unitaires
• Ergodic Theory of the Space of Measured Laminations
• Ergodic Actions of the Mapping Class Group
• On the geometry and dynamics of diffeomorphisms of surfaces
• Combinatorics of Train Tracks. (AM-125)
• Quasi-regular representations of discrete groups and associated $C^*$-algebras

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