Compact Derivations on Von Neumann Algebras
Canadian mathematical bulletin, Tome 24 (1981) no. 1, pp. 87-90
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If is a von Neumann algebra that thas no nonzero finite discrete central projection, then there is no nontrivial compact derivation of into itself.
Mots-clés :
46L10, 46L05, compact derivations, von Neumann algebras, infinite discrete von Neumann algebras, continuous von Neumann algebras, the theorem of comparability, the central support of a projection, C*-algebras
Tsui, Sze-Kai. Compact Derivations on Von Neumann Algebras. Canadian mathematical bulletin, Tome 24 (1981) no. 1, pp. 87-90. doi: 10.4153/CMB-1981-013-x
@article{10_4153_CMB_1981_013_x,
author = {Tsui, Sze-Kai},
title = {Compact {Derivations} on {Von} {Neumann} {Algebras}},
journal = {Canadian mathematical bulletin},
pages = {87--90},
year = {1981},
volume = {24},
number = {1},
doi = {10.4153/CMB-1981-013-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-013-x/}
}
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