paper

Planar binary trees, noncrossing partitions and the operator-valued S-transform

arXiv:2401.14318 · doi:10.1007/s00026-024-00730-1

Abstract

We revisit the twisted multiplicativity property of Voiculescu's S-transform in the operator-valued setting, using a specific bijection between planar binary trees and noncrossing partitions.

final revised manuscript