Lie algebras of unbounded derivations
β Scribed by Frederick M Goodman; Palle E.T Jorgensen
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 838 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let A be a simple unital AT algebra of real rank zero such that it has a unique tracial state { and K 1 (A) is neither 0 nor Z. For each . # Hom(K 1 (A), R) with dense range in R we construct a closed derivation $ in A which generates a oneparameter automorphism group : of A such that {($(u) u\*)=2?
166 leger and luks some applications of the main results to the study of functions f β Hom L L such that f β’ Β΅ or Β΅ β’ f β§ I L defines a Lie multiplication.
## Abstract Let __Ξ΄__ be a Lie triple derivation from a nest algebra π into an πβbimodule β³οΈ. We show that if β³οΈ is a weak\* closed operator algebra containing π then there are an element __S__ β β³οΈ and a linear functional __f__ on π such that __Ξ΄__ (__A__) = __SA__ β __AS__ + __f__ (__A__)__I__ fo