18 citations · 50 across the 12 of their papers we have counts for
12 papers
Fusion-invariant representations for symmetric groups
José Cantarero, Jorge Gaspar-Lara
For a prime , we show that uniqueness of factorization into irreducible -invariant representations of holds if and only if . We als…
Uniqueness of factorization for fusion-invariant representations
José Cantarero, Germán Combariza
Given a saturated fusion system over a finite -group , we provide criteria to determine when uniqueness of factorization into irreducible --invaria…
On the cohomological triviality of the center of the Frattini subgroup
Jaime Calles, José Cantarero, Juan Omar Gómez +1
We improve the existing lower bounds on the order of counterexamples to a conjecture by P. Schmid, determine some properties of the possible counterexamples of minimum order for ea…
Configuration spaces of commuting elements
José Cantarero, Ángel R. Jiménez
In this article we introduce the space of configurations of commuting elements in a topological group and show that it satisfies rational homological stability for the sequences of…
A completion theorem for fusion systems
Noe Barcenas, Jose Cantarero
We show that the twisted K-theory of the classifying space of a p-local finite group is isomorphic to the completion of the Grothendieck group of twisted representations of the fus…
Twisted equivariant K-theory of compact Lie group actions with maximal rank isotropy
Alejandro Adem, José Cantarero, José Manuel Gómez
We consider twisted equivariant K--theory for actions of a compact Lie group on a space where all the isotropy subgroups are connected and of maximal rank. We show that the…
Vector bundles over classifying spaces of p-local finite groups and Benson-Carlson duality
José Cantarero, Natàlia Castellana, Lola Morales
In this paper we obtain a description of the Grothendieck group of complex vector bundles over the classifying space of a p-local finite group in terms of representation rings of s…
Unitary embeddings of finite loop spaces
José Cantarero, Natàlia Castellana
In this paper we construct faithful representations of saturated fusion systems over discrete p-toral groups and use them to find conditions that guarantee the existence of unitary…
Equivariant K-theory of compact Lie group actions with maximal rank isotropy
Alejandro Adem, José Manuel Gómez
Let G denote a compact connected Lie group with torsion-free fundamental group acting on a compact space X such that all the isotropy subgroups are connected subgroups of maximal r…
Nilpotent -local finite groups
J. Cantarero, J. Scherer, A. Viruel
In this paper we prove characterizations of -nilpotency for fusion systems and -local finite groups that are inspired by results in the literature for finite groups. In parti…
Twisted equivariant K-theory, groupoids and proper actions
Jose Cantarero
In this paper we define twisted equivariant K-theory for actions of Lie groupoids. For a Bredon-compatible Lie groupoid, this defines a periodic cohomology theory on the category o…
Equivariant K-theory, groupoids and proper actions
Jose Cantarero
In this paper we define complex equivariant K-theory for actions of Lie groupoids using finite-dimensional vector bundles. For a Bredon-compatible Lie groupoid, this defines a peri…