14 citations · 50 across the 8 of their papers we have counts for
9 papers
A non-commutative analogue of Clausen's view on the idèle class group
Oliver Braunling, Ruben Henrard, Adam-Christiaan van Roosmalen
Clausen predicted that Chevalley's idèle class group of a number field appears as the first -group of the category of locally compact -vector spaces. This has turned out…
The left heart and exact hull of an additive regular category
Ruben Henrard, Sondre Kvamme, Adam-Christiaan van Roosmalen +1
Quasi-abelian categories are abundant in functional analysis and representation theory. It is known that a quasi-abelian category is a cotilting torsionfree class of…
Auslander's formula and correspondence for exact categories
Ruben Henrard, Sondre Kvamme, Adam-Christiaan van Roosmalen
The Auslander correspondence is a fundamental result in Auslander-Reiten theory. In this paper we introduce the category of admissi…
Preresolving categories and derived equivalences
Ruben Henrard, Adam-Christiaan van Roosmalen
It is well known that a resolving subcategory of an abelian subcategory induces several derived equivalences: a triangle equivalence $\mathbf{D}^-(\math…
On the obscure axiom for one-sided exact categories
Ruben Henrard, Adam-Christiaan van Roosmalen
One-sided exact categories are obtained via a weakening of a Quillen exact category. Such one-sided exact categories are homologically similar to Quillen exact categories: a one-si…
-theory of locally compact modules over orders
Oliver Braunling, Ruben Henrard, Adam-Christiaan van Roosmalen
We present a quick approach to computing the -theory of the category of locally compact modules over any order in a semisimple -algebra. We obtain the -theory by…
A categorical framework for glider representations
Ruben Henrard, Adam-Christiaan van Roosmalen
Fragment and glider representations (introduced by F. Caenepeel, S. Nawal, and F. Van Oystaeyen) form a generalization of filtered modules over a filtered ring. Given a -filtere…
Derived categories of (one-sided) exact categories and their localizations
Ruben Henrard, Adam-Christiaan van Roosmalen
We consider the quotient of an exact or one-sided exact category by a so-called percolating subcategory . For exact categories, such a quotient is constr…
Localizations of (one-sided) exact categories
Ruben Henrard, Adam-Christiaan van Roosmalen
In this paper, we introduce quotients of exact categories by percolating subcategories. This approach extends earlier localization theories by Cardenas and Schlichting for exact ca…