bredon cohomology
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2021 ◽  
Vol 23 (2) ◽  
pp. 33-57
Author(s):  
Samik Basu ◽  
Surojit Ghosh

2019 ◽  
Vol 19 (4) ◽  
pp. 2023-2059 ◽  
Author(s):  
Michael Farber ◽  
Mark Grant ◽  
Gregory Lupton ◽  
John Oprea

2019 ◽  
Vol 293 (3-4) ◽  
pp. 1443-1487
Author(s):  
Samik Basu ◽  
Surojit Ghosh
Keyword(s):  

2018 ◽  
Vol 61 (1) ◽  
pp. 121-150 ◽  
Author(s):  
Noé Bárcenas ◽  
Jesús Espinoza ◽  
Bernardo Uribe ◽  
Mario Velásquez

AbstractWe 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.


2016 ◽  
Vol 161 (1) ◽  
pp. 143-156
Author(s):  
BRITA E. A. NUCINKIS ◽  
NANSEN PETROSYAN

AbstractBy considering the Bredon analogue of complete cohomology of a group, we show that every group in the class$\cll\clh^{\mathfrak F}{\mathfrak F}$of type Bredon-FP∞admits a finite dimensional model for$E_{\frak F}G$.We also show that abelian-by-infinite cyclic groups admit a 3-dimensional model for the classifying space for the family of virtually nilpotent subgroups. This allows us to prove that for$\mathfrak {F}$, the class of virtually cyclic groups, the class of$\cll\clh^{\mathfrak F}{\mathfrak F}$-groups contains all locally virtually soluble groups and all linear groups over${\mathbb{C}}$of integral characteristic.


2015 ◽  
Vol 27 (6) ◽  
Author(s):  
Dieter Degrijse

AbstractFor groups with a uniform bound on the length of chains of finite subgroups, we study the relationship between the Bredon cohomological dimension for proper actions and the notions of cohomological dimension one obtains by restricting the coefficients of Bredon cohomology to (cohomological) Mackey functors or fixed point functors. We also investigate the closure properties of the class of groups with finite Bredon cohomological dimension for Mackey functors.


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