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arxiv: 1703.05634 · v1 · pith:LFSWNDGWnew · submitted 2017-03-15 · 🧮 math.OA · math.FA

A construction of inductive limit for operator system

classification 🧮 math.OA math.FA
keywords inductivelimitoperatorsystemconstructionarchimedeanizationcaseclosed
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In this paper, we show a construction of inductive limit for operator system based on Archimedeanization. This inductive limit may be not a closed operator system. We prove that many nuclearity properties could be preserved by a special case of this inductive limit.

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