45 citations · 198 across the 112 of their papers we have counts for
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Injectivity paucity in AB5 categories of oversize chains
Alexandru Chirvasitu
We construct examples of abelian categories with no non-zero injective (or projective) objects satisfying Grothendieck's AB5 condition. The procedure combines Rickard's examples of…
Local presentability and monadicity of forgetful functors for operator algebraic categories
Alexandru Chirvasitu, Ian Thompson
In recent work of Lindenhovius and Zamdzhiev, it was established that the category of complete operator spaces, with completely contractive linear maps as morphisms, is locally cou…
Monadic functors forgetful of (dis)inhibited actions
Alexandru Chirvasitu
We prove a number of results of the following common flavor: for a category of topological or uniform spaces with all manner of other properties of common interest (s…
Higher dualizability and singly-generated Grothendieck categories
Alexandru Chirvasitu
Let be a field. We show that locally presentable, -linear categories dualizable in the sense that the identity functor can be recovered as $\coprod_i x_i\otime…
Centers of categorified endomorphism rings
Alexandru Chirvasitu
We prove that for a large class of well-behaved cocomplete categories the weak and strong Drinfeld centers of the monoidal category of cocontinuous endof…
Leavitt vs. pullbacks
Alexandru Chirvasitu
We show that certain pullbacks of -algebras equivariant with respect to a compact group action remain pullbacks upon completing to -algebras. This unifies a number of resul…