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Twisted equivariant
$K\!$–theory and $K\!$–homology of
$\mathrm{Sl}_3{\mathbb{Z}}$
Noé Bárcenas and Mario Velásquez |
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Algebraic & Geometric Topology 14 (2014) 823–852
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Abstract |
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We use a spectral sequence to compute twisted equivariant –theory groups for the classifying space of proper actions of discrete groups. We study a form of Poincaré duality for twisted equivariant –theory studied by Echterhoff, Emerson and Kim in the context of the Baum–Connes conjecture with coefficients and verify it for the group . |
Keywords
universal coefficient theorem, Bredon cohomology, twisted
$K$–theory, Baum–Connes conjecture with coefficients,
twisted equivariant $k$–theory, twisted group
$C^*$–algebras, $\mathit{KK}$–theoretic duality
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Mathematical Subject Classification 2010
Primary: 19L47
Secondary: 55N91, 46L80
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References |
Publication
Received: 3 April 2013
Revised: 19 August 2013
Accepted: 10 September 2013
Published: 31 January 2014
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Authors |
| Noé Bárcenas | |
| Centro de Ciencias Matemáticas UNAM Campus Morelia, Michoacán Ap. Postal 61-3 Xangari 58089 Morelia Mexico |
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| http://www.matmor.unam.mx/~barcenas | |
| Mario Velásquez | |
| Centro de Ciencias Matemáticas UNAM Campus Morelia, Michoacán Ap. Postal 61-3 Xangari 58089 Morelia Mexico |
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