Identificador persistente para citar o vincular este elemento:
http://hdl.handle.net/10662/17443
Títulos: | Non-trivial derivations on commutative regular algebras |
Autores/as: | Ber, A.F. Chilin, V.I. Sukochev, F.A. |
Palabras clave: | Derivaciones no triviales;Álgebras regulares conmutativas;Non-trivial derivations;Commutative regular algebras |
Fecha de publicación: | 2006 |
Editor/a: | Universidad de Extremadura, Servicio de Publicaciones |
Resumen: | Necessary and suffcient conditions are given for a (complete) commuta- tive algebra that is regular in the sense of von Neumann to have a non-zero derivation. In particular, it is shown that there exist non-zero derivations on the algebra L(M) of all measurable operators affliated with a commutative von Neumann algebra M, whose Boolean algebra of projections is not atomic. Such derivations are not continuous with respect to measure convergence. In the classical setting of the algebra S[0; 1] of all Lebesgue measurable func- tions on [0; 1], our results imply that the first (Hochschild) cohomology group H¹(S[0; 1]; S[0; 1]) is non-trivial. |
URI: | http://hdl.handle.net/10662/17443 |
ISSN: | 0213-8743 |
Colección: | Extracta Mathematicae Vol. 21, nº 2 (2006) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_21_2_107.pdf | 284,64 kB | Adobe PDF | Descargar | |
2605-5686_21_2_107_Abstract.pdf | 85,67 kB | Adobe PDF | Descargar |
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