5 citations · 13 across the 35 of their papers we have counts for
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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…
Decomposable Fourier Multipliers and an Operator-Algebraic Characterization of Amenability
Cédric Arhancet, Christoph Kriegler
We study the algebra of decomposable Fourier multipliers on the group von Neumann algebra of a locally compact group , a…
Sobolev algebras on Lie groups and noncommutative geometry
Cédric Arhancet
We show that there exists a quantum compact metric space which underlies the setting of each Sobolev algebra associated to a subelliptic Laplacian on a co…
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…