Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592238 | Journal of Functional Analysis | 2006 | 15 Pages |
Abstract
In this article, we prove the following results. Let L(F(ni)) be the free group factor on ni generators (ni⩾2) and λ(gi) be one of standard generators of L(F(ni)) for 1⩽i⩽N. Let Ai be the abelian von Neumann subalgebra of L(F(ni)) generated by λ(gi). Then the abelian von Neumann subalgebra is a maximal injective von Neumann subalgebra of . When N is equal to infinity, we obtain strongly stable II1 factors (or called McDuff factors) that contain maximal injective abelian von Neumann subalgebras.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory