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On maximal injective subalgebras of tensor products of von Neumann algebras
Authors:Junsheng Fang
Affiliation:Department of Mathematics, University of New Hampshire, Durham, NH 03824, USA
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 View the MathML source is a maximal injective von Neumann subalgebra of View the MathML source. This partly answers a question of Popa.
Keywords:von Neumann algebras   Maximal injective von Neumann subalgebras   Maximal injective subfactors   Tensor products
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