Mario Vel'asquez

collaborators

3 papers

math.AT2025

On the group cohomology of groups of the form $Z^{n} ⋊ Z / m$ with $m$ square-free

Luis Jorge SÃ¡nchez SaldaÃ±a, Mario VelÃ¡squez

We provide an explicit computation of the cohomology groups (with untwisted coefficients) of semidirect products of the form $Z^{n} ⋊ Z / m$ with $m$ free of squ…

math.KT2024

On the $K$ -theory of groups of the form $Z^{n} ⋊ Z / m$ with $m$ square-free

Luis Jorge SÃ¡nchez SaldaÃ±a, Mario VelÃ¡squez

We provide an explicit computation of the topological $K$ -theory groups $K_{*} (C_{r}^{*} (Z^{n} ⋊ Z / m))$ of semidirect products of the form $\mathbb{Z}^n\rtimes \math…

math.AT2024

Proper actions and decompositions in equivariant K-theory

In this paper we study a natural decomposition of $G$ -equivariant $K$ -theory of a proper $G$ -space, when $G$ is a Lie group with a compact normal subgroup $A$ acting trivially. Our…

On the group cohomology of groups of the form Zn⋊Z/m with m square-free

On the K-theory of groups of the form Zn⋊Z/m with m square-free

Proper actions and decompositions in equivariant K-theory

On the group cohomology of groups of the form $Z^{n} ⋊ Z / m$ with $m$ square-free

On the $K$ -theory of groups of the form $Z^{n} ⋊ Z / m$ with $m$ square-free