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Hypercontractivity in group Von Neumann algebras

In this paper, the authors provide a combinatorial/numerical method to establish new hypercontractivity estimates in group von Neumann algebras. They illustrate their method with free groups, triangular groups and finite cyclic groups, for which they obtain optimal time hypercontractive L_2 \to L_q...

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Detalles Bibliográficos
Autores principales: Junge, Marius, Palazuelos, Carlos, Parcet, Javier
Lenguaje:eng
Publicado: American Mathematical Society 2017
Materias:
Acceso en línea:http://cds.cern.ch/record/2312746