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bredon cohomology

Proceedings of the Edinburgh Mathematical Society (1)

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Segal's Spectral Sequence in Twisted Equivariant K-theory for Proper and Discrete Actions
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Noé Bárcenas, Jesús Espinoza, Bernardo Uribe, Mario Velásquez
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 61 / Issue 1 / February 2018

Published online by Cambridge University Press:

23 January 2018, pp. 121-150
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We use a spectral sequence developed by Graeme Segal in order to understand the twisted G-equivariant K-theory for proper and discrete actions. We show that the second page of this spectral sequence is isomorphic to a version of Bredon cohomology with local coefficients in twisted representations. We furthermore explain some phenomena concerning the third differential of the spectral sequence, and recover known results when the twisting comes from finite order elements in discrete torsion.