Abstract
This paper deals with derivations on algebras that are generated by a maximal abelian selfadjoint algebra of operators $\mathcal {A}$ on a Hilbert space and a group of unitary operators acting on it. A necessary and sufficient condition for such a derivation to be implemented by an operator affiliated with $\mathcal {A}$ is given. The results are related to the study of derivations on a certain class of irreducible triangular algebras.
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