Geodesic
Twisted equivariant
Bárcenas, Noé1 ; Velásquez, Mario1
1Centro de Ciencias Matemáticas, UNAM Campus Morelia, Michoacán, Ap. Postal 61-3 Xangari, 58089 Morelia, Mexico
Algebraic and Geometric Topology, Tome 14 (2014) no. 2, pp. 823-852
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We use a spectral sequence to compute twisted equivariant K–theory groups for the classifying space of proper actions of discrete groups. We study a form of Poincaré duality for twisted equivariant K–theory studied by Echterhoff, Emerson and Kim in the context of the Baum–Connes conjecture with coefficients and verify it for the group Sl3(ℤ).

DOI : 10.2140/agt.2014.14.823
Classification : 19L47, 55N91, 46L80
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

Bárcenas, Noé  1   ; Velásquez, Mario  1

1 Centro de Ciencias Matemáticas, UNAM Campus Morelia, Michoacán, Ap. Postal 61-3 Xangari, 58089 Morelia, Mexico 
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Bárcenas, Noé; Velásquez, Mario. Twisted equivariant. Algebraic and Geometric Topology, Tome 14 (2014) no. 2, pp. 823-852. doi: 10.2140/agt.2014.14.823

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