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Lookup NU author(s): Professor Guyan Robertson
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Let (G, I, N, S) be an affine topological Tits system, and let Γ be a torsion-free cocompact lattice in G. This article studies the coinvariants H 0(Γ; C(Ω,Z)), where Ω is the Furstenberg boundary of G. It is shown that the class [1] of the identity function in H 0(Γ; C(Ω, Z)) has finite order, with explicit bounds for the order. A similar statement applies to the K 0 group of the boundary crossed product C *-algebra C(Ω)Γ. If the Tits system has type à 2, exact computations are given, both for the crossed product algebra and for the reduced group C*- algebra. © 2004 Kluwer Academic Publishers.
Author(s): Robertson G
Publication type: Article
Publication status: Published
Journal: K-Theory
Year: 2004
Volume: 33
Issue: 4
Pages: 347-369
Print publication date: 01/12/2004
ISSN (print): 0920-3036
ISSN (electronic):
Publisher: Springer Netherlands
URL: http://dx.doi.org/10.1007/s10977-005-1448-8
DOI: 10.1007/s10977-005-1448-8
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