Spectral rigidity of group actions on homogeneous spaces

zbMath1412.22019arXiv1602.02892MaRDI QIDQ3119376

Mohammed El Bachir Bekka

Publication date: 11 March 2019

Full work available at URL: https://arxiv.org/abs/1602.02892

zbMATH Keywords

spectral gap propertyKazhdan propertyergodic group actionsco-amenable actions

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory on groups (22D40) Ergodic theorems, spectral theory, Markov operators (37A30) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (7)

Orbit equivalence rigidity of irreducible actions of right-angled Artin groups ⋮ Spectral gap property and strong ergodicity for groups of affine transformations of solenoids ⋮ \(\operatorname{SL}_2\) representations and relative property (T) ⋮ On the spectral theory of groups of automorphisms of S-adic nilmanifolds ⋮ Quasi-regular representations of discrete groups and associated $C^*$-algebras ⋮ Infinite characters on \(\textit{GL}_{n}(\mathbf{Q})\), on \(SL_{n}(Z)\), and on groups acting on trees ⋮ Infinite characters of type II on \(\mathrm{SL}_n(\mathbb{Z})\)

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