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Kazhdan's Property (T) (Hardcover, New)
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Kazhdan's Property (T) (Hardcover, New)
Series: New Mathematical Monographs
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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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