Unitary representations of oligomorphic groups

DOI10.1007/s00039-012-0156-9zbMath1252.22003arXiv1101.2194OpenAlexW2963321176MaRDI QIDQ438647

Todor Tsankov

Publication date: 31 July 2012

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.2194

zbMATH Keywords

unitary representationproperty (T)\(\omega\)-categoricalKazhdan setoligomorphic groupRoelcke precompact

Mathematics Subject Classification ID

Representations of general topological groups and semigroups (22A25) Model theory of denumerable and separable structures (03C15) Infinite automorphism groups (20B27)

Related Items (26)

A topological characterisation of endomorphism monoids of countable structures ⋮ On a Roelcke-precompact Polish group that cannot act transitively on a complete metric space ⋮ Coarse groups, and the isomorphism problem for oligomorphic groups ⋮ Circular orders, ultra-homogeneous order structures, and their automorphism groups ⋮ Amenability versus property (𝑇) for non-locally compact topological groups ⋮ Glasner's problem for Polish groups with metrizable universal minimal flow ⋮ THE AUTOMORPHISM GROUP OF THE FRAÏSSÉ LIMIT OF FINITE HEYTING ALGEBRAS ⋮ Reconstructing the topology of clones ⋮ AUTOMORPHISM GROUPS OF RANDOMIZED STRUCTURES ⋮ Eberlein oligomorphic groups ⋮ Infinite-dimensional Polish groups and property (T) ⋮ Structural properties of dendrite groups ⋮ UNIVERSAL MINIMAL FLOWS OF GENERALIZED WAŻEWSKI DENDRITES ⋮ THE COMPLEXITY OF TOPOLOGICAL GROUP ISOMORPHISM ⋮ Groups \(\mathrm{GL}(\infty)\) over finite fields and multiplications of double cosets ⋮ Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups ⋮ On the group of infinite \(p\)-adic matrices with integer elements ⋮ Polyhomomorphisms of locally compact groups ⋮ Invariant measures on products and on the space of linear orders ⋮ Locally Roelcke precompact Polish groups ⋮ Fixed points in compactifications and combinatorial counterparts ⋮ The homeomorphism group of the first uncountable ordinal ⋮ Dynamics and structure of groups of homeomorphisms of scattered spaces ⋮ Topological Birkhoff ⋮ Description of unitary representations of the group of infinite 𝑝-adic integer matrices ⋮ Large scale geometry of Banach-Lie groups

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