Invariant means and the structure of inner amenable groups
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Publication:2217884
DOI10.1215/00127094-2019-0070zbMath1458.37043arXiv1407.7474OpenAlexW3044927891MaRDI QIDQ2217884
Publication date: 12 January 2021
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.7474
Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Other matrix groups over fields (20H20) Groups acting on trees (20E08) Means on groups, semigroups, etc.; amenable groups (43A07)
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Superrigidity, measure equivalence, and weak Pinsker entropy ⋮ Groups with infinite FC-center have the Schmidt property ⋮ Stable actions and central extensions ⋮ Inner amenability of the subgroups of \(\mathrm{PL}^+(I)\) ⋮ Measure equivalence rigidity via s-malleable deformations ⋮ Dynamical alternating groups, stability, property Gamma, and inner amenability ⋮ First \(\ell^2\)-Betti numbers and proper proximality ⋮ Cocycle superrigidity for profinite actions of irreducible lattices ⋮ Continuous orbit equivalence rigidity for left-right wreath product actions ⋮ CAT(0) cube complexes and inner amenability ⋮ Cost, \(\ell^2\)-Betti numbers and the sofic entropy of some algebraic actions ⋮ Entropy, Shannon orbit equivalence, and sparse connectivity ⋮ Generic IRS in free groups, after Bowen ⋮ Cost of inner amenable groupoids ⋮ Global aspects of measure preserving equivalence relations and graphs ⋮ Stable decompositions and rigidity for products of countable equivalence relations
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