Anticommuting derivations

Author:
Steen Pedersen

Journal:
Proc. Amer. Math. Soc. **127** (1999), 1103-1108

MSC (1991):
Primary 46L57, 47B47; Secondary 46L55, 47D45

MathSciNet review:
1443402

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Abstract: We show that there are no non-trivial closable derivations of a -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 -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:
http://dx.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