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
- 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
- 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]
(2)
- 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