Year: 2024
Type: preprint
Abstract: We investigate the algebraic structure underlying Voiculescu's S-transform in the setting of operator-valued free probability. We show that its twisted factorisation property gives rise to post-groups, crossed morphisms, as well as pre- and post-Lie algebras.
Source: arXiv (Cornell University)
Authors: Ebrahimi-Fard, Kurusch, Ringeard, Timothé
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4392222560