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- W1700815844 abstract "We introduce the notion of the $alpha$-Haagerup approximation property for $alphain[0,1/2]$ using a one-parameter family of positive cones studied by Araki and show that the $alpha$-Haagerup approximation property actually does not depend on a choice of $alpha$. This gives us a direct proof of the fact that two characterizations of the Haagerup approximation property are equivalent, one in terms of the standard form and the other in terms of completely positive maps. We also discuss the $L^p$-Haagerup approximation property for a non-commutative $L^p$-spaces associated with a von Neumann algebra ($1<p<infty$) and show the independency of the $L^p$-Haagerup approximation property on $p$." @default.
- W1700815844 created "2016-06-24" @default.
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- W1700815844 date "2014-03-16" @default.
- W1700815844 modified "2023-09-25" @default.
- W1700815844 title "Haagerup approximation property and positive cones associated with a von Neumann algebra" @default.
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- W1700815844 doi "https://doi.org/10.48550/arxiv.1403.3971" @default.
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