Hilbert spaces with generic groups of automorphisms

Details Hilbert spaces with generic groups of automorphisms Hilbert spaces with generic groups of automorphisms

2004-11-28

arxiv.org/abs/math/0411625v1

Mathematics

Logic

8 pages

Scientific paper

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.

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