Martino Lupini

activity

20112026

most citedBoundary representations of operator spaces, and compact rectangular matrix convex sets

210 citations · 464 across the 57 of their papers we have counts for

collaborators

Showing 2026Show all

5 papers · 1 filter

math.OA2026

Solution to Dixmier's Problem about spectra of C*-algebras

Martino Lupini

Dixmier asked in 1967 whether the spectra of simple separable non-type-I $C^{*}$ -algebras all have the same Borel structure. We solve the formulation using ordinary isomorphisms of q…

math.GR2026

The universal valued Abelian groups of Niemiec are Lévy, strongly exotic, extremely amenable, and $G_{r} (0)$ is generically monothetic

Alessandro Codenotti, Martino Lupini

We prove various properties of the universal valued Abelian groups $G_{r} (N)$ constructed by Niemiec, for $r \in {1, \infty}$ and $N \in {0, 2, 3, \dots}$ . First we show that t…

math.CT2026

The Exact Completion of the Category of Polish Groups

Martino Lupini

This article shows that the exact completion as a regular category of the homological category of Polish groups and continuous group homomorphisms is the category of groups with a…

math.FA2026

The Borel complexity of non-Archimedean operator ranges

Martino Lupini

We completely classify the possible complexity classes of non-closed operator ranges on separable Banach spaces over a Polish non-Archimedean non-trivially valued field. These are…

math.CT2026

Polarities, voltages, and capacitors: a categorical approach to hulls, envelopes, and completions

Ivan Di Liberti, Martino Lupini

This article provides a general framework in the context of category theory where one can recognize as particular instances of the same abstract construction several notions of com…

Solution to Dixmier's Problem about spectra of C*-algebras

The universal valued Abelian groups of Niemiec are Lévy, strongly exotic, extremely amenable, and Gr​(0) is generically monothetic

The Exact Completion of the Category of Polish Groups

The Borel complexity of non-Archimedean operator ranges

Polarities, voltages, and capacitors: a categorical approach to hulls, envelopes, and completions

The universal valued Abelian groups of Niemiec are Lévy, strongly exotic, extremely amenable, and $G_{r} (0)$ is generically monothetic