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

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5 papers · 1 filter

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.GR2025

Applications of Borel-definable homological algebra to locally compact groups

Martino Lupini

We apply the description of the left heart of the category $LCPAb$ of locally compact Polish abelian groups in terms of groups with a Polish cover and Borel-definable grou…

math.GR2021

Projective length, phantom extensions, and the structure of torsion modules

Martino Lupini

The notion of phantom extension of order a given ordinal $α$ has been introduced in collaboration with Casarosa, as an algebraic analogue of the order of a phantom map in topology,…

math.GR2013★ 2 cited

Class-preserving automorphisms of universal hyperlinear groups

Martino Lupini

We show that the group of class-preserving automorphisms of a universal hyperlinear group has index 2 inside the group of all automorphisms.

math.GR2013★ 2 cited

Introduction to Sofic and Hyperlinear groups and Connes' embedding conjecture

Valerio Capraro, Martino Lupini

Sofic and hyperlinear groups are the countable discrete groups that can be approximated in a suitable sense by finite symmetric groups and groups of unitary matrices. These notions…

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

Applications of Borel-definable homological algebra to locally compact groups

Projective length, phantom extensions, and the structure of torsion modules

Class-preserving automorphisms of universal hyperlinear groups

Introduction to Sofic and Hyperlinear groups and Connes' embedding conjecture

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