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arXiv:math/0411625 [math.LO]AbstractReferencesReviewsResources

Hilbert spaces with generic groups of automorphisms

Alexander Berenstein

Published 2004-11-28Version 1

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.

Comments: 8 pages
Categories: math.LO, math.RT
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