Anticommuting derivations

Pedersen, Steen

doi:10.1090/S0002-9939-99-04642-0

Anticommuting derivations
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by Steen Pedersen PDF

Proc. Amer. Math. Soc. 127 (1999), 1103-1108 Request permission

Abstract:

We show that there are no non-trivial closable derivations of a $C^{*}$-algebra anticommuting with an ergodic action of a compact group, supposing that the set of squares is dense in the group. We also show that there are no non-trivial closable densely defined rank one derivations on any $C^{*}$-algebra.

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