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Cohomology of Jordan triples via Lie algebras (1512.03347v1)
Published 10 Dec 2015 in math.OA and math.RA
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.