Fubini theorem in noncommutative geometry
Operator Algebras
2016-12-14 v1
Abstract
We discuss the Fubini formula in Alain Connes' noncommutative geometry. We present a sufficient condition on spectral triples for which a Fubini formula holds true. The condition is natural and related to heat semigroup asymptotics. We provide examples of spectral triples for which the Fubini formula fails.
Cite
@article{arxiv.1612.04012,
title = {Fubini theorem in noncommutative geometry},
author = {Fedor Sukochev and Dmitriy Zanin},
journal= {arXiv preprint arXiv:1612.04012},
year = {2016}
}
Comments
accepted to Journal of Functional Analysis