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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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4 papers · 1 filter

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 of locally compact Polish abelian groups in terms of groups with a Polish cover and Borel-definable grou…

math.OA2025

A new characterization of (pre)liminary C*-algebras

Martino Lupini

Given an arbitrary countable ordinal , we introduce the notion of type C*-algebra and -subhomogeneous C*-algebra. When , these recover the notions of Fell C*-alg…

math.OA2025

Derivation length and automorphism length of unital C*-algebras

Martino Lupini

This paper is a contribution to the study of the ordinal-valued invariants of derivation and automorphism length. Akemann--Pedersen and Elliott proved that a separable unital C*-al…

math.LO2025

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

Matteo Casarosa, Martino Lupini

We consider the natural generalization of the notion of the order of a phantom map from the topological setting to triangulated categories. When applied to the derived category of…