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arXiv · 1512.03347

Cohomology of Jordan triples via Lie algebras

Cho-Ho Chu·Bernard Russo
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Abstract

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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Cho-Ho Chu, Bernard Russo. 2015-12-10. Cohomology of Jordan triples via Lie algebras. https://arxiv.org/abs/1512.03347

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