Arnaud Brothier

activity

20162024

most citedCrossed-products by locally compact groups: Intermediate subfactors

2 citations · 3 across the 6 of their papers we have counts for

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math.GR2024

Forest-skein groups III: simplicity

Arnaud Brothier, Ryan Seelig

An Ore forest-skein category provides three forest-skein groups equipped with a powerful diagrammatic calculus analogous to Richard Thompson's groups F,T,V. We investigate when for…

math.GR2024★ 1 cited

Atomic representations of R. Thompson's groups and Cuntz's algebra

Arnaud Brothier, Dilshan Wijesena

We continue to study Pythagorean unitary representation of Richard Thompson's groups $F, T, V$ and their extension to the Cuntz(-Dixmier) algebra. Any linear isometry from a Hilbert…

math.GR2022

Forest-skein groups I: between Vaughan Jones' subfactors and Richard Thompson's groups

Arnaud Brothier

Vaughan Jones discovered unexpected connections between Richard Thompson's group and subfactor theory while attempting to construct conformal field theories (in short CFT). Among o…