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Maximal Injective Subalgebras of Tensor Products of Free Groups Factors | Junhao Shen
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17 Aug 2005 | Subject: | Operator Algebras | math.OA | Abstract: | In this article, we proved the following results. Let $L(F(n_i))$ be the free group factor on $n_i$ generators and $lambda (g_{i})$ be one of standard generators of $L(F(n_i))$ for $1le ile N$. Let $A_i$ be the abelian von Neumann subalgebra of $L(F(n_i))$ generated by $lambda(g_{i})$. Then the abelian von Neumann subalgebra $otimes_{i=1}^NA_i$ 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. | Source: | arXiv, math.OA/0508305 | Services: | Forum | Review | PDF | Favorites |
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