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math.OA2022
Spectral triples, Coulhon-Varopoulos dimension and heat kernel estimates
Cédric Arhancet
We investigate the relations between the (completely bounded) local Coulhon-Varopoulos dimension and the spectral dimension of spectral triples associated to sub-Markovian semigrou…
math.OA2022
Markov dilations of semigroups of Fourier multipliers
Cédric Arhancet
We describe a Markov dilation for any weak* continuous semigroup of selfadjoint unital completely positive Fourier multipliers acting on the group von Neumann al…