210 citations · 464 across the 57 of their papers we have counts for
9 papers · 1 filter
Fraïssé limits in functional analysis
Martino Lupini
We provide a unified approach to Fra\"ıssé limits in functional analysis, including the Gurarij space, the Poulsen simplex, and their noncommutative analogs. We obtain in this gene…
Approximate polynomial structure in additively large sets
Mauro Di Nasso, Isaac Goldbring, Renling Jin +3
We show that any subset of the natural numbers with positive logarithmic Banach density contains a set that is within a factor of two of a geometric progression, improving the boun…
The classification problem for operator algebraic varieties and their multiplier algebras
Michael Hartz, Martino Lupini
We study from the perspective of Borel complexity theory the classification problem for multiplier algebras associated with operator algebraic varieties. These algebras are precise…
High density piecewise syndeticity of product sets in amenable groups
Mauro Di Nasso, Isaac Goldbring, Renling Jin +3
M. Beiglböck, V. Bergelson, and A. Fish proved that if is a countable amenable group and and are subsets of with positive Banach density, then the product set …
Operator space and operator system analogs of Kirchberg's nuclear embedding theorem
Martino Lupini
The Gurarij operator space introduced by Oikhberg is the unique separable -exact operator space that is approximately injective in the category of -exact operat…
A monad measure space for logarithmic density
Mauro Di Nasso, Isaac Goldbring, Renling Jin +3
We provide a framework for proofs of structural theorems about sets with positive Banach logarithmic density. For example, we prove that if has positive Ban…
Nonclassifiability of UHF -operator algebras
Eusebio Gardella, Martino Lupini
We prove that simple, separable, monotracial UHF -operator algebras are not classifiable up to (complete) isomorphism using countable structures, such as K-theoretic data, a…
The classification problem for automorphisms of C*-algebras
Martino Lupini
We present an overview of the recent developments in the study of the classification problem for automorphisms of C*-algebras from the perspective of Borel complexity theory.
Simplified models for same-spin new physics scenarios
Lisa Edelhäuser, Michael Krämer, Jory Sonneveld
Simplified models are an important tool for the interpretation of searches for new physics at the LHC. They are defined by a small number of new particles together with a specific…