3 citations · 5 across the 7 of their papers we have counts for
10 papers
On the -theory of groups of the form with square-free
Luis Jorge Sánchez Saldaña, Mario Velásquez
We provide an explicit computation of the topological -theory groups of semidirect products of the form $\mathbb{Z}^n\rtimes \math…
On the group cohomology of groups of the form with square-free
Luis Jorge Sánchez Saldaña, Mario Velásquez
We provide an explicit computation of the cohomology groups (with untwisted coefficients) of semidirect products of the form with free of squ…
A Fixed Point Decomposition of Twisted Equivariant K-Theory
Tom Dove, Thomas Schick, Mario Velásquez
We present a decomposition of rational twisted -equivariant K-theory, a finite group, into cyclic group equivariant K-theory groups of fixed point spaces. This generalises t…
Hecke operators in Bredon (co)homology, K-(co)homology and Bianchi groups
David Muñoz, Jorge Plazas, Mario Velásquez
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 He…
The topological K-theory of crystallographic groups with holonomy
Mario Velásquez
In this note we present a complete computation of the topological K-theory of the reduced C*-algebra of a semidirect product of the form with…
Proper actions and decompositions in equivariant K-theory
Andrés Angel, Edward Becerra, Mario Velásquez
In this paper we study a natural decomposition of -equivariant -theory of a proper -space, when is a Lie group with a compact normal subgroup acting trivially. Our…
Induced character in equivariant K-theory and wreath products
Germán Combariza, Juan Rodríguez, Mario Velásquez
Let be a finite group, be a compact -space. In this note we study the -graded algebra $$\mathcal{F}^q_G(X) = \bigoplus_{n\g…
The algebraic and topological K-theory of the Hilbert Modular Group
Luis Jorge Sánchez Saldaña, Mario Velásquez
In this paper we provide descriptions of the Whitehead groups with coefficients in a ring of the Hilbert modular group and its reduced version, as well as for the topological K-the…
A description of the assembly map for the Baum-Connes conjecture with coefficients
Mario Velásquez
In this note we set a configuration space description of the equivariant connective K-homology groups with coefficients in a unital C*-algebra for proper actions. Over this model w…
Multiplicative Structures and the Twisted Baum-Connes Assembly map
Noé Bárcenas, Paulo Carrillo Rouse, Mario Velásquez
Using a combination of Atiyah-Segal ideas on one side and of Connes and Baum-Connes ideas on the other, we prove that the Twisted geometric K-homology groups of a Lie groupoid have…