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Triple derivations on von Neumann algebras

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Pluta R., Russo B.

Studia Mathematica

2015

tom 226

nr 1

57-73

It is well known that every derivation of a von Neumann algebra into itself is an inner derivation and that every derivation of a von Neumann algebra into its predual is inner. It is less well known that every triple derivation (defined below) of a von Neumann algebra into itself is an inner triple derivation. We examine to what extent all triple derivations of a von Neumann algebra into its predual are inner. This rarely happens but it comes close. We prove a (triple) cohomological characterization of finite factors and a zero-one law for factors.

Ograniczanie wyników

1 Studia Mathematica

1 Pluta R.

1 Russo B.

1 2015

Wyniki wyszukiwania

Triple derivations on von Neumann algebras