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
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
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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-algebras II, Commun. Math. Phys. 46(1976), 11-30. Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 46L57, 47B47, 46L55, 47D45
Retrieve articles in all journals with MSC (1991): 46L57, 47B47, 46L55, 47D45
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
