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

  • 46L05 General theory of $C^*$-algebras
  • 46L06 Tensor products of $C^*$-algebras
  • 46L07 Operator spaces and completely bounded maps [See also 47L25]
  • 46L08 $C^*$-modules
  • 46L09 Free products of $C^*$-algebras
  • 46L10 General theory of von Neumann algebras
  • 46L30 States
  • 46L35 Classifications of $C^*$-algebras factors
  • 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 [See also 28Dxx, 37Kxx, 37Lxx, 54H20]
  • 46L57 Derivations, dissipations and positive semigroups in $C^*$-algebras
  • 46L60 Applications of selfadjoint operator algebras to physics [See also 46N50, 46N55, 47L90, 81T05, 82B10, 82C10]
  • 46L65 Quantizations, deformations
  • 46L70 Nonassociative selfadjoint operator algebras [See also 46H70, 46K70]
  • 46L80 $K$-theory and operator algebras (including cyclic theory) [See also 18F25, 19Kxx, 46M20, 55Rxx, 58J22]
  • 46L85 Noncommutative topology [See also 58B32, 58B34, 58J22]
  • 46L87 Noncommutative differential geometry [See also 58B32, 58B34, 58J22]
  • 46L89 Other “noncommutative” mathematics based on $C^*$-algebra theory [See also 58B32, 58B34, 58J22]
  • 46L99 None of the above, but in this section