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  • 46-XX Functional analysis
  • 46Lxx Selfadjoint operator algebras ( C * -algebras, von Neumann ( W * -) algebras, etc.)
  • 46L60 Applications of selfadjoint operator algebras to physics

46Lxx Selfadjoint operator algebras ( C * -algebras, von Neumann ( W * -) algebras, etc.)

  • 46L05 General theory of C * -algebras
  • 46L06 Tensor products of C * -algebras
  • 46L07 Operator spaces and completely bounded maps
  • 46L08 C * -modules
  • 46L09 Free products of C * -algebras
  • 46L10 General theory of von Neumann algebras
  • 46L30 States
  • 46L35 Classifications of C * -algebras
  • 46L36 Classification of factors
  • 46L37 Subfactors and their classification
  • 46L40 Automorphisms
  • 46L45 Decomposition theory for C * -algebras
  • 46L51 Noncommutative measure and integration
  • 46L52 Noncommutative function spaces
  • 46L53 Noncommutative probability and statistics
  • 46L54 Free probability and free operator algebras
  • 46L55 Noncommutative dynamical systems
  • 46L57 Derivations, dissipations and positive semigroups in C * -algebras
  • 46L60 Applications of selfadjoint operator algebras to physics
  • 46L65 Quantizations, deformations
  • 46L70 Nonassociative selfadjoint operator algebras
  • 46L80 K -theory and operator algebras (including cyclic theory)
  • 46L85 Noncommutative topology
  • 46L87 Noncommutative differential geometry
  • 46L89 Other “noncommutative” mathematics based on C * -algebra theory
  • 46L99 None of the above, but in this section
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