Fubini theorem in noncommutative geometry
  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. 
Fedor Sukochev, Dmitriy Zanin
math.OA