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  3. Kazhdan's Property (T)
  • Cited by 422
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    • Publisher:
      Cambridge University Press
      Publication date:
      12 September 2009
      17 April 2008
      ISBN:
      9780511542749
      9780521887205
      DOI:
      https://doi.org/10.1017/CBO9780511542749
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.8kg, 486 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Algebra
      Series:
      New Mathematical Monographs (11)
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    Subjects:
    Mathematics (general), Mathematics, Algebra
    Series:
    New Mathematical Monographs (11)
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    Book description

    Property (T) is a rigidity property for topological groups, first formulated by D. Kazhdan in the mid 1960's with the aim of demonstrating that a large class of lattices are finitely generated. Later developments have shown that Property (T) plays an important role in an amazingly large variety of subjects, including discrete subgroups of Lie groups, ergodic theory, random walks, operator algebras, combinatorics, and theoretical computer science. This monograph offers a comprehensive introduction to the theory. It describes the two most important points of view on Property (T): the first uses a unitary group representation approach, and the second a fixed point property for affine isometric actions. Via these the authors discuss a range of important examples and applications to several domains of mathematics. A detailed appendix provides a systematic exposition of parts of the theory of group representations that are used to formulate and develop Property (T).

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