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arXiv · 1612.04012

Fubini theorem in noncommutative geometry

Fedor Sukochev·Dmitriy Zanin
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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.

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Fedor Sukochev, Dmitriy Zanin. 2016-12-13. Fubini theorem in noncommutative geometry. https://arxiv.org/abs/1612.04012

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