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Mathematical Sciences Classification System

46Lxx - Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.)
[See also 22D25, 47Lxx]

• 13
  46L05
  General theory of $C^*$-algebras
• 46L06
  Tensor products of $C^*$-algebras
• 4
  46L07
  Operator spaces and completely bounded maps [See also 47L25]
• 2
  46L08
  $C^*$-modules
• 1
  46L09
  Free products of $C^*$-algebras
• 6
  46L10
  General theory of von Neumann algebras
• 2
  46L30
  States
• 5
  46L35
  Classifications of $C^*$-algebras
• 46L36
  Classification of factors
• 1
  46L37
  Subfactors and their classification
• 2
  46L40
  Automorphisms
• 3
  46L45
  Decomposition theory for $C^*$-algebras
• 3
  46L51
  Noncommutative measure and integration
• 7
  46L52
  Noncommutative function spaces
• 4
  46L53
  Noncommutative probability and statistics
• 11
  46L54
  Free probability and free operator algebras
• 9
  46L55
  Noncommutative dynamical systems [See also 28Dxx, 37Kxx, 37Lxx, 54H20]
• 1
  46L57
  Derivations, dissipations and positive semigroups in $C^*$-algebras
• 4
  46L60
  Applications of selfadjoint operator algebras to physics [See also 46N50, 46N55, 47L90, 81T05, 82B10, 82C10]
• 3
  46L65
  Quantizations, deformations
• 3
  46L70
  Nonassociative selfadjoint operator algebras [See also 46H70, 46K70]
• 13
  46L80
  $K$-theory and operator algebras (including cyclic theory) [See also 18F25, 19Kxx, 46M20, 55Rxx, 58J22]
• 4
  46L85
  Noncommutative topology [See also 58B32, 58B34, 58J22]
• 7
  46L87
  Noncommutative differential geometry [See also 58B32, 58B34, 58J22]
• 2
  46L89
  Other “noncommutative” mathematics based on $C^*$-algebra theory [See also 58B32, 58B34, 58J22]
• 1
  46L99
  None of the above, but in this section