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Nonlocal games and quantum permutation groups

- M. Lupini, L. Mančinska, D. Roberson
- Mathematics, Physics
- 5 December 2017

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… Expand

Introduction to Sofic and Hyperlinear Groups and Connes' Embedding Conjecture

- V. Capraro, M. Lupini
- Mathematics
- 9 September 2013

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… Expand

High density piecewise syndeticity of sumsets

- M. D. Nasso, Isaac Goldbring, R. Jin, Steven C. Leth, M. Lupini, K. Mahlburg
- Mathematics
- 21 October 2013

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… Expand

Gowers' Ramsey Theorem for generalized tetris operations

- M. Lupini
- Mathematics, Computer ScienceJ. Comb. Theory, Ser. A
- 30 March 2016

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FRAÏSSÉ LIMITS OF C*-ALGEBRAS

- Christopher J. Eagle, I. Farah, B. Hart, Boris Kadets, V. Kalashnyk, M. Lupini
- Computer Science, MathematicsThe Journal of Symbolic Logic
- 14 November 2014

TLDR

Approximate Groups

- M. D. Nasso, Isaac Goldbring, M. Lupini
- Nonstandard Methods in Ramsey Theory and…
- 2019

Representations of \'etale groupoids on $L^p$-spaces

- Eusebio Gardella, M. Lupini
- Mathematics
- 16 August 2014

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… Expand

Polish groupoids and functorial complexity

- M. Lupini
- Mathematics
- 24 July 2014

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… Expand

Fraïssé limits in functional analysis

- M. Lupini
- MathematicsAdvances 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… Expand

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