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arxiv: 1512.03347 · v1 · pith:L45THVN6new · submitted 2015-12-10 · 🧮 math.OA · math.RA

Cohomology of Jordan triples via Lie algebras

classification 🧮 math.OA math.RA
keywords algebrascohomologyjordantriplesresultsapplycohomologicaldevelop
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We develop a cohomology theory for Jordan triples, including the infinite dimensional ones, by means of the cohomology of TKK Lie algebras. This enables us to apply Lie cohomological results to the setting of Jordan triples. Some preliminary results for von Neumann algebras are obtained.

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