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Anticommuting derivations

Author(s): Steen Pedersen
Journal: Proc. Amer. Math. Soc. 127 (1999), 1103-1108.
MSC (1991): Primary 46L57, 47B47; Secondary 46L55, 47D45
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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: 10.1090/S0002-9939-99-04642-0
PII: S 0002-9939(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
Copyright of article: Copyright 1999, American Mathematical Society

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