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Anticommuting derivations


Author: Steen Pedersen
Journal: Proc. Amer. Math. Soc. 127 (1999), 1103-1108
MSC (1991): Primary 46L57, 47B47; Secondary 46L55, 47D45
DOI: https://doi.org/10.1090/S0002-9939-99-04642-0
MathSciNet review: 1443402
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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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Additional Information

Steen Pedersen
Affiliation: Department of Mathematics, Wright State University, Dayton, Ohio 45435
Email: steen@math.wright.edu

DOI: https://doi.org/10.1090/S0002-9939-99-04642-0
Keywords: Derivation, anticommutation, Heisenberg commutation
Received by editor(s): July 5, 1996
Received by editor(s) in revised form: July 25, 1997
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1999 American Mathematical Society