On maximal injective subalgebras of tensor products of von Neumann algebras |
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Authors: | Junsheng Fang |
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Affiliation: | Department of Mathematics, University of New Hampshire, Durham, NH 03824, USA |
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Abstract: | Let Mi be a von Neumann algebra, and Bi be a maximal injective von Neumann subalgebra of Mi, i=1,2. If M1 has separable predual and the center of B1 is atomic, e.g., B1 is a factor, then is a maximal injective von Neumann subalgebra of . This partly answers a question of Popa. |
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Keywords: | von Neumann algebras Maximal injective von Neumann subalgebras Maximal injective subfactors Tensor products |
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