Hilbert spaces with generic groups of automorphisms

Alexander Berenstein

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Hilbert spaces with generic groups of automorphisms

Alexander Berenstein

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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.

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BibTeX RIS

Alexander Berenstein. 2004-11-28. Hilbert spaces with generic groups of automorphisms. https://arxiv.org/abs/math/0411625

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