# A note on derivations of Murray–von Neumann algebras

title={A note on derivations of Murray–von Neumann algebras},
author={Richard V. Kadison and Zhe Liu},
journal={Proceedings of the National Academy of Sciences},
year={2014},
volume={111},
pages={2087 - 2093}
}
• Published 27 January 2014
• Mathematics
• Proceedings of the National Academy of Sciences
Significance In this article, derivations of algebras of unbounded operators acting on a Hilbert space are discussed. Derivations appear as the generators of one-parameter groups that express the symmetries and dynamical evolution of quantum-mechanical systems. One can see this relation to derivations by examining Dirac's Program for a mathematical formulation of the fundamentals of quantum mechanics. A Murray–von Neumann algebra is the algebra of operators affiliated with a finite von Neumann…
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A Murray-von Neumann algebra is the algebra of operators affiliated with a finite von Neumann algebra. In this article, we study derivations of Murray-von Neumann algebras and their properties. We
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