Hilbert spaces with generic groups of automorphisms

被引：6

作者：

Berenstein, Alexander ^{[1
]}

机构：

[1] Univ Nacl Colombia, Dept Matemat, Bogota, Colombia

来源：

ARCHIVE FOR MATHEMATICAL LOGIC | 2007年 / 46卷 / 3-4期

关键词：

Hilbert Space; Unitary Representation; Amenable Group; Separable Hilbert Space; Atomic Formula;

D O I：

10.1007/s00153-007-0044-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a countable group. We prove that there is a model companion for the theory of Hilbert spaces with a group G of automorphisms. We use a theorem of Hulanicki to show that G is amenable if and only if the structure induced by countable copies of the regular representation of G is existentially closed.

引用

页码：289 / 299

页数：11

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