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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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Junge, Marius (Author), Palazuelos, Carlos, 1979- (Author), Parcet, Javier, 1975- (Author), Perrin, Mathilde (Author)
Format: Electronic eBook
Language:Inglés
Published: Providence, Rhode Island : American Mathematical Society, 2017.
Series:Memoirs of the American Mathematical Society ; no. 1183.
Subjects:
Von Neumann algebras.
Group algebras.
Algèbres de Von Neumann.
Algèbres de groupes.
Group algebras
Von Neumann algebras
Online Access:Texto completo
Table of Contents:
  • Introduction
  • The combinatorial method
  • Optimal time estimates
  • Poisson-like lengths
  • Appendix A: Logarithmic Sobolev inequalities
  • Appendix B: The word length in Z[subscript n]
  • Appendix C: Numerical analysis
  • Appendix D: Technical inequalities
  • Bibliography.

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