A in the community compact crew 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 house. As Gromov's pun is attempting to point, this definition is designed as a robust negation to Kazhdan's estate (T), characterised by means of the truth that each isometric motion on a few affine Hilbert area has a hard and fast point.
The target of this ebook is to hide, for the 1st time in e-book shape, a variety of features of the Haagerup estate. New characterizations are introduced in, utilizing ergodic idea 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 suggested to graduate scholars and researchers within the fields of geometry, team concept, harmonic research, ergodic conception and operator algebras.
The first bankruptcy, via Valette, is a stimulating advent to the total book.
This publication constitutes a collective quantity as a result of 5 authors, that includes vital breakthroughs in an intensively studied subject.
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