We introduce and study a genuine equivariant refinement of the Tate construction
associated to an extension $\widehat {G} $ of a finite group $ G $ by a compact Lie group …

We construct a natural transformation between two versions of $ G $-equivariant $ K $-
homology with coefficients in a $ G $-$ C^{*} $-category for a countable discrete group $ G …

In the representation theory of finite groups, the so-called local-global conjectures assert a
relation between the representation theory of a finite group and one of its local subgroups …

For a finite group $ G $, $ G $-transfer systems are combinatorial objects which encode the
homotopy category of $ G $-$ N_\infty $ operads, whose algebras in $ G $-spectra are …

We consider the equivariant Kasparov category associated to an étale groupoid, and by
leveraging its triangulated structure we study its localization at the 'weakly …

Let $ G $ be a $ p $-adic Lie group associated to a connected reductive group over
$\mathbb {Q} _ {p} $. Let $ P $ be a parabolic subgroup of $ G $ and let $ M $ be a Levi …

Let $ G $ be a finite group. We re-analyze the splitting of rational $ G $-spectra, which is
discussed in Barne's thesis and traces back to Greenlees and May. We will study how the …

The goal of this paper is to use topological methods to compute $\mathrm {Ext} $ between
an irreducible representation of a finite monoid inflated from its group completion and one …

We study the notion of a" differential 2-rig", a category R with coproducts and a monoidal
structure distributing over them, also equipped with an endofunctor D: R-> R that satisfies a …

We show that the mod $\ell $ cohomology of any finite group of Lie type in characteristic $ p
$ different from $\ell $ admits the structure of a module over the mod $\ell $ cohomology of …