Maximal Injective Subalgebras of Tensor Products of Free Groups Factors
| dc.creator | Shen, Junhao | |
| dc.date | 2005-08-16 | |
| dc.date | 2005-08-25 | |
| dc.date.accessioned | 2026-07-07T05:22:25Z | |
| dc.date.available | 2026-07-07T05:22:25Z | |
| dc.description | In this article, we proved the following results. Let $L(F(n_i))$ be the free group factor on $n_i$ generators and $λ(g_{i})$ be one of standard generators of $L(F(n_i))$ for $1\le i\le N$. Let $\A_i$ be the abelian von Neumann subalgebra of $L(F(n_i))$ generated by $λ(g_{i})$. Then the abelian von Neumann subalgebra $\otimes_{i=1}^N\A_i$ is a maximal injective von Neumann subalgebra of $\otimes_{i=1}^N L(F(n_i))$. When $N$ is equal to infinity, we obtained McDuff factors that contain maximal injective abelian von Neumann subalgebras. | |
| dc.identifier | https://arxiv.org/abs/math/0508305 | |
| dc.identifier | http://arxiv.org/abs/math/0508305 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76053 | |
| dc.subject | Operator Algebras | |
| dc.title | Maximal Injective Subalgebras of Tensor Products of Free Groups Factors | |
| dc.type | text |