Although the evidence is still limited, a growing body of research suggests music may have beneficial effects for diseases such as Parkinson’s.
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We use Voiculescu’s free probability theory to prove the existence of prime factors, hence answering a longstanding problem in the theory of von Neumann algebras.
Footnotes
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↵ e-mail: liming{at}math.mit.edu.
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Richard V. Kadison, University of Pennsylvania, Philadelphia, PA
- Received August 6, 1996.
- Accepted August 19, 1996.
- Copyright © 1996, The National Academy of Sciences of the USA
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