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]
  • 1
    46L08
    $C^*$-modules
  • 1
    46L09
    Free products of $C^*$-algebras
  • 5
    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
  • 10
    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

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