학술논문

Cohomology of Jordan triples via Lie algebras
Document Type
article
Author
Source
Subject
Jordan triple
cohomology
TKK algebra
derivation
cocycle
structural transformation
von Neumann algebra
math.OA
math.RA
Primary 17C65
18G60
Secondary 46L70
16W10
Primary 17C65
18G60
Secondary 46L70
16W10
Language
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.