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arxiv: math/0312167 · v1 · submitted 2003-12-08 · 🧮 math.OA · math-ph· math.FA· math.MP

Ordered C*-modules

classification 🧮 math.OA math-phmath.FAmath.MP
keywords orderedopenakemannbasicbimodulescentralcrucialdevelop
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In this first part of a study of ordered operator spaces, we develop the basic theory of `ordered C*-bimodules'. A crucial role is played by `open central tripotents', a JB*-triple variant of Akemann's notion of open projection.

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