A Duflo-Moore theorem for ergodic group actions on semifinite von Neumann algebras
Operator Algebras
2026-05-28 v2 Functional Analysis
Abstract
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.
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Cite
@article{arxiv.2508.15575,
title = {A Duflo-Moore theorem for ergodic group actions on semifinite von Neumann algebras},
author = {Ulrik Enstad and Hannes Wendt},
journal= {arXiv preprint arXiv:2508.15575},
year = {2026}
}
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24 pages