Hilbert spaces with generic groups of automorphisms
Logic
2007-05-23 v1 Representation Theory
Abstract
Let G be a countable group. We proof that there is a model companion for the approximate theory of a Hilbert space with a group G of automorphisms. We show that G is amenable if and only if the structure induced by countable copies of the regular representation of G is existentially closed.
Cite
@article{arxiv.math/0411625,
title = {Hilbert spaces with generic groups of automorphisms},
author = {Alexander Berenstein},
journal= {arXiv preprint arXiv:math/0411625},
year = {2007}
}
Comments
8 pages