Kazhdan's property (T) / Bachir Bekka, Pierre de la Harpe and Alain Valette.

By: Bekka, M. Bachir
Contributor(s): La Harpe, Pierre de | Valette, Alain
Material type: TextTextSeries: New mathematical monographs: 11.Publisher: Cambridge : Cambridge University Press, 2008Description: 1 online resource (xiii, 472 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511395116; 0511395116; 9780521887205; 0521887208; 0511392486; 9780511392481; 9780511542749; 0511542747; 1107186986; 9781107186989; 1281370843; 9781281370846; 9786611370848; 6611370846; 0511394462; 9780511394461; 0511393776; 9780511393778Subject(s): Topological groups | Mathematics | MATHEMATICS -- Algebra -- Linear | Mathematics | Topological groups | Topologische Gruppe | Každan-KonstanteGenre/Form: Electronic books. | Electronic books. Additional physical formats: Print version:: Kazhdan's property (T).DDC classification: 512.55 LOC classification: QA326 | .B45 2008ebOnline resources: Click here to access online
Contents:
Definitions, first consequences, and basic examples -- Property (FH) -- Reduced cohomology -- Bounded generation -- A spectral criterion for property (T) -- Some applications of property (T) -- A short list of open questions -- Unitary group representations -- Measures on homogeneous spaces -- Functions of positive type and GNS construction -- Unitary Representations of locally compact abelian groups -- Induced representations -- Weak containment and Fell's topology -- Amenability.
Summary: A comprehensive introduction to the role of Property (T), with applications to an amazing number of fields within mathematics.
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Includes bibliographical references and index.

Definitions, first consequences, and basic examples -- Property (FH) -- Reduced cohomology -- Bounded generation -- A spectral criterion for property (T) -- Some applications of property (T) -- A short list of open questions -- Unitary group representations -- Measures on homogeneous spaces -- Functions of positive type and GNS construction -- Unitary Representations of locally compact abelian groups -- Induced representations -- Weak containment and Fell's topology -- Amenability.

A comprehensive introduction to the role of Property (T), with applications to an amazing number of fields within mathematics.

Print version record.

English.

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