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Anticommuting derivations
Authors:Steen Pedersen
Institution:Department of Mathematics, Wright State University, Dayton, Ohio 45435
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.

Keywords:Derivation  anticommutation  Heisenberg commutation
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