Segal's spectral sequence in twisted equivariant K-theory for proper and discrete actions
K-Theory and Homology
2021-03-08 v2 Algebraic Topology
Abstract
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 we recover known results when the twisting comes from finite order elements in discrete torsion.
Keywords
Cite
@article{arxiv.1307.1003,
title = {Segal's spectral sequence in twisted equivariant K-theory for proper and discrete actions},
author = {Noe Barcenas and Jesus Espinoza and Bernardo Uribe and Mario Velasquez},
journal= {arXiv preprint arXiv:1307.1003},
year = {2021}
}
Comments
25 pages. Corrected version. arXiv admin note: text overlap with arXiv:math/0411656 by other authors