Skip to main content
×
Home
    • Aa
    • Aa

Finitely summable Fredholm modules over higher rank groups and lattices

  • Michael Puschnigg (a1)
  • DOI: http://dx.doi.org/10.1017/is010011023jkt131
  • Published online: 23 December 2010
Abstract
Abstract

We give a classification (up to smooth homotopy) of finitely summable Fredholm representations (Fredholm modules) over higher rank groups and lattices. Our results are a direct consequence of work of Bader, Furman, Gelander and Monod on generalizations of Kazhdan's property T for locally compact groups.

Copyright
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

1.U. Bader , A. Furman , T. Gelander , N. Monod , Property (T) and rigidity for actions on Banach spaces, Acta Math. 198 no. 1, 57105, (2007).

2.A. Connes , Noncommutative differential geometry, Publ. Math. IHES 62, 41144, (1985)

4.A. Connes , Entire cyclic cohomology of Banach algebras and characters of Thetasummable Fredholm modules, K-theory 1, 519548, (1988)

9.G. Kasparov , Equivariant KK-theory and the Novikov conjecture, Invent. Math. 91, 147201, (1988)

10.J. Lindenstrauss , L. Tzafriri , Classical Banach spaces I, II, Springer (1977)

11.G. Margulis , Discrete subgroups of semisimple Lie groups, Springer (1991)

12.V. Nistor , A bivariant Chern-Connes character, Ann. of Math. 138, 555590, (1993)

16.S.P. Wang , On isolated points in the dual spaces of locally compact groups, Math. Ann. 218, 1935, (1975)

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of K-Theory
  • ISSN: 1865-2433
  • EISSN: 1865-5394
  • URL: /core/journals/journal-of-k-theory
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×

Keywords: