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math.OA2019
Riesz transforms, Hodge-Dirac operators and functional calculus for multipliers I
Cédric Arhancet, Christoph Kriegler
In this work, we solve the problem explicitly stated at the end of a paper of Junge, Mei and Parcet [JEMS2018, Problem C.5] for a large class of groups including all amenable group…
math.OA2017
Projections, multipliers and decomposable maps on noncommutative -spaces
Cédric Arhancet, Christoph Kriegler
We introduce a noncommutative analogue of the absolute value of a regular operator acting on a noncommutative -space. We equally prove that two classical operator nor…