Forest-skein groups I: between Vaughan Jones' subfactors and Richard Thompson's groups
A Brothier - arXiv preprint arXiv:2207.03100, 2022 - arxiv.org
Vaughan Jones discovered unexpected connections between Richard Thompson's group
and subfactor theory while attempting to construct conformal field theories (in short CFT) …
and subfactor theory while attempting to construct conformal field theories (in short CFT) …
Decomposition of Pythagorean representations of R. Thompson's groups
A Brothier, D Wijesena - arXiv preprint arXiv:2302.04458, 2023 - arxiv.org
We continue to study Pythagorean unitary representation of Richard Thompson's groups $ F
$, $ T $ and $ V $ that are built from a single isometry from a Hilbert space to its double. By …
$, $ T $ and $ V $ that are built from a single isometry from a Hilbert space to its double. By …
Jones' representations of R. Thompson's groups not induced by finite-dimensional ones
A Brothier, D Wijesena - arXiv preprint arXiv:2211.08555, 2022 - arxiv.org
Given any linear isometry from a Hilbert space to its square one can explicitly construct a so-
called Pythagorean unitary representation of Richard Thompson's group F. We introduce a …
called Pythagorean unitary representation of Richard Thompson's group F. We introduce a …
Atomic representations of R. Thompson's groups and Cuntz's algebra
A Brothier, D Wijesena - arXiv preprint arXiv:2406.02967, 2024 - arxiv.org
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 …
T, V $ and their extension to the Cuntz (-Dixmier) algebra. Any linear isometry from a Hilbert …