La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

Query : CC = 46Lxx
46-XX Functional analysis [For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx]

• 46Lxx Selfadjoint operator algebras (C^*-algebras, von Neumann (W*-) algebras, etc.) [See also 22D25, 47Lxx]
• 46L05 General theory of C^*-algebras
• 46L06 Tensor products of C^*-algebras [New MSC 2000 code]
  • MSC 1991 codes in relation : 46L05, 46M05
• 46L07 Operator spaces and completely bounded maps [See also 47L25] [New MSC 2000 code]
  • MSC 1991 codes in relation : 46L05, 46B28, 47D15, 47D25
• 46L08 C^*-modules [New MSC 2000 code]
  • MSC 1991 codes in relation : 46L05, 46H25
• 46L09 Free products of C^*-algebras [New MSC 2000 code]
  • MSC 1991 codes in relation : 46L05, 46M99
• 46L10 General theory of von Neumann algebras
• 46L30 States
• 46L35 Classifications of C^*-algebras, factors
• 46L37 Subfactors and their classification
• 46L40 Automorphisms
• 46L45 Decomposition theory for C^*-algebras
• 46L51 Noncommutative measure and integration [New MSC 2000 code]
  • MSC 1991 code in relation : 46L50
• 46L52 Noncommutative function spaces [New MSC 2000 code]
  • MSC 1991 code in relation : 46L50
• 46L53 Noncommutative probability and statistics [New MSC 2000 code]
  • MSC 1991 code in relation : 46L50
• 46L54 Free probability and free operator algebras [New MSC 2000 code]
  • MSC 1991 code in relation : 46L50
• 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 [New MSC 2000 code]
  • MSC 1991 codes in relation : 46L60, 46L99
• 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

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