Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hecke operators in Bredon (co)homology, K-(co)homology and Bianchi
  groups   In this article we provide a framework for the study of Hecke operators
acting on the Bredon (co)homology of an arithmetic discrete group. Our main
interest lies in the study of Hecke operators for Bianchi groups. Using the
Baum-Connes conjecture, we can transfer computations in Bredon homology to
obtain a Hecke action on the $K$-theory of the reduced $C^{*}$-algebra of the
group. We show the power of this method giving explicit computations for the
group $SL_2(\mathbb{Z}[i])$. In order to carry out these computations we use an
Atiyah-Segal type spectral sequence together with the Bredon homology of the
classifying space for proper actions.

20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
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The categories of this paper are: eess
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn