The positive contractive part of a Noncommutative $L^p$-space is a complete Jordan invariant

Chi-Keung Ng; Chi-Wai Leung; Ngai-Ching Wong

arxiv: 1511.01217 · v1 · pith:KKDDKSDTnew · submitted 2015-11-04 · 🧮 math.OA

The positive contractive part of a Noncommutative L^p-space is a complete Jordan invariant

Chi-Wai Leung , Chi-Keung Ng , Ngai-Ching Wong This is my paper

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keywords spacecompleteinvariantjordanpartpositivealgebraball

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Let $1\leq p \leq +\infty$. We show that the positive part of the closed unit ball of a non-commmutative $L^p$-space, as a metric space, is a complete Jordan $^*$-invariant for the underlying von Neumann algebra.

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The positive contractive part of a Noncommutative L^p-space is a complete Jordan invariant

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