Concept information
Preferred term
von Neumann algebra
Definition(s)
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In mathematics, a von Neumann algebra or W*-algebra is a *-algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. It is a special type of C*-algebra.
Von Neumann algebras were originally introduced by John von Neumann, motivated by his study of single operators, group representations, ergodic theory and quantum mechanics. His double commutant theorem shows that the analytic definition is equivalent to a purely algebraic definition as an algebra of symmetries.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Von_Neumann_algebra)
Broader concept(s)
Synonym(s)
- W*-algebra
In other languages
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French
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W*-algèbre
URI
http://data.loterre.fr/ark:/67375/PSR-JXF76GDR-C
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