Cohomology of Jordan triples via Lie algebras

2015/12/10 by Cho-Ho Chu, Chu, Cho-Ho, Bernard Russo +1
Mathematics · #16W10 #18G60 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA) #Primary 17C65 #Rings and Algebras (math.RA) #Secondary 46L70 #math.OA #math.RA #msc:16W10 #msc:17C65 #msc:18G60 #msc:46L70

paper · pdf · doi:10.48550/arxiv.1512.03347

27 pages, to appear in: Topics in Functional Analysis and Algebra, Proceedings of a special session of the USA-Uzbekistan Conference on Analysis and Mathematical Physics, CSU Fullerton, May 20-23, 2014, Contemporary Mathematics, 2016

arxiv created 2015/12/10 · openalex publication_date 2015/12/10 · arxiv updated 2015/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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