48 citations · 78 across the 12 of their papers we have counts for
15 papers
Spectral gap and stability for groups and non-local games
Mikael de la Salle
The word stable is used to describe a situation when mathematical objects that almost satisfy an equation are close to objects satisfying it exactly. We study operator-algebraic fo…
Most rigid representation and Cayley index of finitely generated groups
Paul-Henry Leemann, Mikael de la Salle
If is a group and a generating set, canonically embeds into the automorphism group of its Cayley graph and it is natural to try to minimize, over all generating sets, t…
Orthogonalization of Positive Operator Valued Measures
Mikael de la Salle
We show that a partition of the unity (or POVM) on a Hilbert space that is almost orthogonal is close to an orthogonal POVM in the same von Neumann algebra. This generalizes to inf…
Cayley graphs with few automorphisms: the case of infinite groups
Paul-Henry Leemann, Mikael de la Salle
We characterize the finitely generated groups that admit a Cayley graph whose only automorphisms are the translations, confirming a conjecture by Watkins from 1976. The proof relie…
Cayley graphs with few automorphisms
Paul-Henry Leemann, Mikael de la Salle
We show that every finitely generated group G with an element of order at least admits a locally finite directed Cayley graph with automorphism group equal to G.…
Non-standard limits of graphs and some orbit equivalence invariants
Alessandro Carderi, Damien Gaboriau, Mikael de la Salle
We consider probability measure preserving discrete groupoids, group actions and equivalence relations in the context of general probability spaces. We study for these objects the…