English

Maharam traces on von Neumann algebras

Operator Algebras 2009-05-19 v1

Abstract

Traces Φ\Phi on von Neumann algebras with values in complex order complete vector lattices are considered. The full description of these traces is given for the case when Φ\Phi is the Maharam trace. The version of Radon-Nikodym-type theorem for Maharam traces is established.

Cite

@article{arxiv.0905.2857,
  title  = {Maharam traces on von Neumann algebras},
  author = {Vladimir Chilin and Botir Zakirov},
  journal= {arXiv preprint arXiv:0905.2857},
  year   = {2009}
}

Comments

16 pages

R2 v1 2026-06-21T13:03:20.062Z