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},
  pages={2087 - 2093}
  • R. Kadison, Zhe Liu
  • 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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