A in the community compact team has the Haagerup estate, or is a-T-menable within the feel of Gromov, if it admits a formal isometric motion on a few affine Hilbert area. As Gromov's pun is making an attempt to point, this definition is designed as a powerful negation to Kazhdan's estate (T), characterised through the truth that each isometric motion on a few affine Hilbert house has a set point.
The goal of this ebook is to hide, for the 1st time in booklet shape, a variety of features of the Haagerup estate. New characterizations are introduced in, utilizing ergodic concept or operator algebras. a number of new examples are given and new techniques to formerly recognized examples are proposed. hooked up Lie teams with the Haagerup estate are thoroughly characterized.
The booklet is very attention-grabbing, stimulating and good written (...) and it is recommended to graduate scholars and researchers within the fields of geometry, crew concept, harmonic research, ergodic concept and operator algebras.
The first bankruptcy, by way of Valette, is a stimulating creation to the total book.
This booklet constitutes a collective quantity as a result of 5 authors, that includes very important breakthroughs in an intensively studied subject.
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