Skip to content
Register Sign in Wishlist

Kazhdan's Property (T)

£120.00

Part of New Mathematical Monographs

  • Date Published: April 2008
  • availability: Available
  • format: Hardback
  • isbn: 9780521887205

£ 120.00
Hardback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • 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).

    • Introduces a very active area of research with applications to topological group theory, measure theory, ergodic theory, random walks, combinatorics, and more
    • The Appendix acts as an introduction to numerous important subjects of mathematics, plus as a first course on representation theory on Hilbert spaces
    • Includes lots of examples and avoids unnecessary technicalities, ensuring it is accessible to students as well as academic researchers
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: April 2008
    • format: Hardback
    • isbn: 9780521887205
    • length: 486 pages
    • dimensions: 233 x 161 x 29 mm
    • weight: 0.8kg
    • contains: 6 b/w illus. 4 tables 125 exercises
    • availability: Available
  • Table of Contents

    Introduction
    Part I. Kazhdan's Property (T):
    1. Property (T)
    2. Property (FH)
    3. Reduced Cohomology
    4. Bounded generation
    5. A spectral criterion for Property (T)
    6. Some applications of Property (T)
    7. A short list of open questions
    Part II. Background on Unitary Representations: A. Unitary group representations
    B. Measures on homogeneous spaces
    C. Functions of positive type
    D. Representations of abelian groups
    E. Induced representations
    F. Weak containment and Fell topology
    G. Amenability
    Appendix
    Bibliography
    List of symbols
    Index.

  • Authors

    Bachir Bekka, Université de Rennes I, France
    Bachir Bekka is Professor of Mathematics at the Université de Rennes 1, France.

    Pierre de la Harpe, Université de Genève
    Pierre de la Harpe is Professor of Mathematics at the Université de Genève, Switzerland.

    Alain Valette, Université de Neuchatel, Switzerland
    Alain Valette is Professor of Mathematics at the Université de Neuchâtel, Switzerland.

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×