arXiv subjects

Hannes Wendt

Publications and source records attributed to Hannes Wendt.

2 recordsLinked to original sources

arXiv2026

Associativity of operator convolutions for group actions on von Neumann algebras

Given a pair of commuting, ergodic, trace-preserving and trace-integrable actions of locally compact unimodular groups on a common semifinite von Neumann algebra we prove a form of associativity for convolutions of triples of operators. We view this as a basis for a general version of quantum harmonic analysis.

math.OA↗

arXiv2025

A Duflo-Moore theorem for ergodic group actions on semifinite von Neumann algebras

We prove a generalization of the orthogonality relations of Duflo and Moore for ergodic, trace-preserving group actions on von Neumann algebras that are integrable in a suitable sense. We also obtain convolution inequalities that generalize both Young's inequality for convolution on locally compact groups and inequalities for operator-operator convolutions in Werner's quantum harmonic analysis.

math.OA↗