• Publications
  • Influence
Nonlocal games and quantum permutation groups
We present a strong connection between quantum information and quantum permutation groups. Specifically, we define a notion of quantum isomorphisms of graphs based on quantum automorphisms from the
Introduction to Sofic and Hyperlinear Groups and Connes' Embedding Conjecture
This monograph presents some cornerstone results in the study of sofic and hyperlinear groups and the closely related Connes' embedding conjecture. These notions, as well as the proofs of many
High density piecewise syndeticity of sumsets
Abstract Renling Jin proved that if A and B are two subsets of the natural numbers with positive Banach density, then A + B is piecewise syndetic. In this paper, we prove that, under various
Gowers' Ramsey Theorem for generalized tetris operations
  • M. Lupini
  • Mathematics, Computer Science
    J. Comb. Theory, Ser. A
  • 30 March 2016
A generalization of Gowers' theorem for finite products is proved where, instead of the single tetris operation, one considers all maps from $\mathrm{FIN}_{k}$ to $0\leq j$ arising from nondecreasing surjections.
The Jiang-Su algebra, all UHF algebras, and the hyperfinite II1 factor are realized as Fraïssé limits of suitable classes of structures and Ramsey-theoretic results about the class of full-matrix alge bras are deduced.
Approximate Groups
Representations of \'etale groupoids on $L^p$-spaces
For $p\in (1,\infty)$, we study representations of etale groupoids on $L^{p}$-spaces. Our main result is a generalization of Renault's disintegration theorem for representations of etale groupoids on
Polish groupoids and functorial complexity
We introduce and study the notion of functorial Borel complexity for Polish groupoids. Such a notion aims at measuring the complexity of classifying the objects of a category in a constructive and
Fraïssé limits in functional analysis
  • M. Lupini
  • Mathematics
    Advances in Mathematics
  • 18 October 2015
We provide a unified approach to Fra\"isse limits in functional analysis, including the Gurarij space, the Poulsen simplex, and their noncommutative analogs. We obtain in this general framework many