Rational equivariant K-homology of low dimensional groups
Rational equivariant K-homology of low dimensional groups
We consider groups G which have a cocompact, 3-manifold model for the classifying space \underline{E}G. We provide an algorithm for computing the rationalized equivariant K-homology of \underline{E}G. Under the additional hypothesis that the quotient 3-orbifold \underline{E}G/G is geometrizable, the rationalized K-homology groups coincide with the rationalized K-theory of the reduced C*-algebra of G. We illustrate our algorithm on some concrete examples.
Lafont, Jean-Francois
268f5958-24b9-4224-8f04-12a2c7ea20c8
Ortiz, Ivonne
4c5e3b29-43aa-43b8-b163-254a91862480
Sanchez-Garcia, Ruben
8246cea2-ae1c-44f2-94e9-bacc9371c3ed
Lafont, Jean-Francois
268f5958-24b9-4224-8f04-12a2c7ea20c8
Ortiz, Ivonne
4c5e3b29-43aa-43b8-b163-254a91862480
Sanchez-Garcia, Ruben
8246cea2-ae1c-44f2-94e9-bacc9371c3ed
Lafont, Jean-Francois, Ortiz, Ivonne and Sanchez-Garcia, Ruben
(2011)
Rational equivariant K-homology of low dimensional groups.
Clay Mathematics Proceedings.
(Submitted)
Abstract
We consider groups G which have a cocompact, 3-manifold model for the classifying space \underline{E}G. We provide an algorithm for computing the rationalized equivariant K-homology of \underline{E}G. Under the additional hypothesis that the quotient 3-orbifold \underline{E}G/G is geometrizable, the rationalized K-homology groups coincide with the rationalized K-theory of the reduced C*-algebra of G. We illustrate our algorithm on some concrete examples.
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Submitted date: November 2011
Organisations:
Pure Mathematics
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Local EPrints ID: 338220
URI: http://eprints.soton.ac.uk/id/eprint/338220
ISSN: 1534-6455
PURE UUID: 76f117f7-406b-411b-85d5-b65d1b0a06fc
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Date deposited: 22 May 2012 08:54
Last modified: 15 Mar 2024 03:36
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Author:
Jean-Francois Lafont
Author:
Ivonne Ortiz
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