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- Kazhdans_property_(T) abstract "In mathematics, a locally compact topological group G has property (T) if the trivial representation is an isolated point in its unitary dual equipped with the Fell topology. Informally, this means that if G acts unitarily on a Hilbert space and has \"almost invariant vectors\", then it has a nonzero invariant vector. The formal definition, introduced by David Kazhdan (1967), gives this a precise, quantitative meaning.Although originally defined in terms of irreducible representations, property (T) can often be checked even when there is little or no explicit knowledge of the unitary dual. Property (T) has important applications to group representation theory, lattices in algebraic groups over local fields, ergodic theory, geometric group theory, expanders, operator algebras and the theory of networks.".
- Kazhdans_property_(T) wikiPageExternalLink what-is.pdf.
- Kazhdans_property_(T) wikiPageExternalLink KazhdanTotal.pdf.
- Kazhdans_property_(T) wikiPageExternalLink ICM_Vol_2_60.pdf.
- Kazhdans_property_(T) wikiPageExternalLink On%20property.pdf.
- Kazhdans_property_(T) wikiPageID "1362724".
- Kazhdans_property_(T) wikiPageLength "13417".
- Kazhdans_property_(T) wikiPageOutDegree "92".
- Kazhdans_property_(T) wikiPageRevisionID "703370693".
- Kazhdans_property_(T) wikiPageWikiLink Affine_transformation.
- Kazhdans_property_(T) wikiPageWikiLink Alain_Connes.
- Kazhdans_property_(T) wikiPageWikiLink Alexander_Lubotzky.
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- Kazhdans_property_(T) wikiPageWikiLink Cambridge_University_Press.
- Kazhdans_property_(T) wikiPageWikiLink Cartan_subgroup.
- Kazhdans_property_(T) wikiPageWikiLink Category:Geometric_group_theory.
- Kazhdans_property_(T) wikiPageWikiLink Category:Topological_groups.
- Kazhdans_property_(T) wikiPageWikiLink Category:Unitary_representation_theory.
- Kazhdans_property_(T) wikiPageWikiLink Circle_group.
- Kazhdans_property_(T) wikiPageWikiLink Cocompact_group_action.
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- Kazhdans_property_(T) wikiPageWikiLink Continuous_function.
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- Kazhdans_property_(T) wikiPageWikiLink Countable_set.
- Kazhdans_property_(T) wikiPageWikiLink David_Kazhdan.
- Kazhdans_property_(T) wikiPageWikiLink Ergodic_theory.
- Kazhdans_property_(T) wikiPageWikiLink Expander_graph.
- Kazhdans_property_(T) wikiPageWikiLink Free_abelian_group.
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- Kazhdans_property_(T) wikiPageWikiLink Fundamental_group.
- Kazhdans_property_(T) wikiPageWikiLink Geometric_group_theory.
- Kazhdans_property_(T) wikiPageWikiLink Graph_(discrete_mathematics).
- Kazhdans_property_(T) wikiPageWikiLink Grigory_Margulis.
- Kazhdans_property_(T) wikiPageWikiLink Group_action.
- Kazhdans_property_(T) wikiPageWikiLink Group_representation.
- Kazhdans_property_(T) wikiPageWikiLink Hilbert_space.
- Kazhdans_property_(T) wikiPageWikiLink Hyperbolic_group.
- Kazhdans_property_(T) wikiPageWikiLink International_Congress_of_Mathematicians.
- Kazhdans_property_(T) wikiPageWikiLink Invariant_subspace.
- Kazhdans_property_(T) wikiPageWikiLink Irreducible_representation.
- Kazhdans_property_(T) wikiPageWikiLink Isolated_point.
- Kazhdans_property_(T) wikiPageWikiLink Isometry.
- Kazhdans_property_(T) wikiPageWikiLink Laplace_operator.
- Kazhdans_property_(T) wikiPageWikiLink Laplacian_matrix.
- Kazhdans_property_(T) wikiPageWikiLink Lattice_(discrete_subgroup).
- Kazhdans_property_(T) wikiPageWikiLink Lie_group.
- Kazhdans_property_(T) wikiPageWikiLink Link_(geometry).
- Kazhdans_property_(T) wikiPageWikiLink Local_field.
- Kazhdans_property_(T) wikiPageWikiLink Locally_compact_space.
- Kazhdans_property_(T) wikiPageWikiLink Mathematics.
- Kazhdans_property_(T) wikiPageWikiLink Mikhail_Leonidovich_Gromov.
- Kazhdans_property_(T) wikiPageWikiLink Mixing_(mathematics).
- Kazhdans_property_(T) wikiPageWikiLink Operator_algebra.
- Kazhdans_property_(T) wikiPageWikiLink Orthogonal_group.
- Kazhdans_property_(T) wikiPageWikiLink Pierre_Pansu.
- Kazhdans_property_(T) wikiPageWikiLink Positive-definite_function_on_a_group.
- Kazhdans_property_(T) wikiPageWikiLink Positive_real_numbers.
- Kazhdans_property_(T) wikiPageWikiLink Quaternion.
- Kazhdans_property_(T) wikiPageWikiLink Quotient_group.
- Kazhdans_property_(T) wikiPageWikiLink Reflection_group.
- Kazhdans_property_(T) wikiPageWikiLink Serres_property_FA.
- Kazhdans_property_(T) wikiPageWikiLink Sesquilinear_form.
- Kazhdans_property_(T) wikiPageWikiLink Significant_figures.
- Kazhdans_property_(T) wikiPageWikiLink Simple_Lie_group.
- Kazhdans_property_(T) wikiPageWikiLink Simplicial_complex.
- Kazhdans_property_(T) wikiPageWikiLink Solvable_group.
- Kazhdans_property_(T) wikiPageWikiLink Special_linear_group.
- Kazhdans_property_(T) wikiPageWikiLink Special_unitary_group.
- Kazhdans_property_(T) wikiPageWikiLink Spectrum_of_a_C*-algebra.
- Kazhdans_property_(T) wikiPageWikiLink Topological_group.
- Kazhdans_property_(T) wikiPageWikiLink Toshikazu_Sunada.
- Kazhdans_property_(T) wikiPageWikiLink Trivial_representation.
- Kazhdans_property_(T) wikiPageWikiLink Uniform_convergence.
- Kazhdans_property_(T) wikiPageWikiLink Unitary_representation.
- Kazhdans_property_(T) wikiPageWikiLink Von_Neumann_algebra.
- Kazhdans_property_(T) wikiPageWikiLinkText "Kazhdan's property (T)".
- Kazhdans_property_(T) wikiPageWikiLinkText "Kazhdan–Margulis theorem".
- Kazhdans_property_(T) wikiPageWikiLinkText "property T-group".
- Kazhdans_property_(T) wikiPageUsesTemplate Template:Citation.
- Kazhdans_property_(T) wikiPageUsesTemplate Template:Harvtxt.
- Kazhdans_property_(T) wikiPageUsesTemplate Template:MathSciNet.
- Kazhdans_property_(T) wikiPageUsesTemplate Template:Reflist.
- Kazhdans_property_(T) subject Category:Geometric_group_theory.
- Kazhdans_property_(T) subject Category:Topological_groups.
- Kazhdans_property_(T) subject Category:Unitary_representation_theory.
- Kazhdans_property_(T) hypernym Point.
- Kazhdans_property_(T) type Place.
- Kazhdans_property_(T) type Redirect.
- Kazhdans_property_(T) type Space.
- Kazhdans_property_(T) comment "In mathematics, a locally compact topological group G has property (T) if the trivial representation is an isolated point in its unitary dual equipped with the Fell topology. Informally, this means that if G acts unitarily on a Hilbert space and has \"almost invariant vectors\", then it has a nonzero invariant vector.".
- Kazhdans_property_(T) label "Kazhdan's property (T)".
- Kazhdans_property_(T) sameAs Q6381062.
- Kazhdans_property_(T) sameAs m.04wssf.
- Kazhdans_property_(T) sameAs Q6381062.
- Kazhdans_property_(T) wasDerivedFrom Kazhdans_property_(T)?oldid=703370693.
- Kazhdans_property_(T) isPrimaryTopicOf Kazhdans_property_(T).