Transitive families of projections in factors of type II1

被引：1

作者：

Bannon, JP ^{[1
]}

机构：

[1] Univ New Hampshire, Dept Math & Stat, Durham, NH 03872 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 03期

关键词：

II1; factor; transitive family; free product;

D O I：

10.1090/S0002-9939-04-07717-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a notion of transitive family of subspaces relative to a type II1 factor, and hence a notion of transitive family of projections in such a factor. We show that whenever M is a factor of type II1 and M is generated by two self-adjoint elements, then M circle times M-2(C) contains a transitive family of 5 projections. Finally, we exhibit a free transitive family of 12 projections that generate a factor of type II1.

引用

页码：835 / 840

页数：6

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