46Lxx

 46K | 46 | 46M

Selfadjoint operator algebras (C*-algebras, von Neumann (W*-) algebras, etc.)

[See also 22D25, 47Lxx]

46L05General theory of C*-algebras
46L06Tensor products of C*-algebras
46L07Operator spaces and completely bounded maps
[See also 47L25]
46L08C*-modules
46L09Free products of C*-algebras
46L10General theory of von Neumann algebras
46L30States
46L35Classifications of C*-algebras, factors
46L37Subfactors and their classification
46L40Automorphisms
46L45Decomposition theory for C*-algebras
46L51Noncommutative measure and integration
46L52Noncommutative function spaces
46L53Noncommutative probability and statistics
46L54Free probability and free operator algebras
46L55Noncommutative dynamical systems
[See also 28Dxx, 37Kxx, 37Lxx, 54H20]
46L57Derivations, dissipations and positive semigroups in C*-algebras
46L60Applications of selfadjoint operator algebras to physics
[See also 46N50, 46N55, 47L90, 81T05, 82B10, 82C10]
46L65Quantizations, deformations
46L70Nonassociative selfadjoint operator algebras
[See also 46H70, 46K70]
46L80K-theory and operator algebras (including cyclic theory)
[See also 18F25, 19Kxx, 46M20, 55Rxx, 58J22]
46L85Noncommutative topology
[See also 58B32, 58B34, 58J22]
46L87Noncommutative differential geometry
[See also 58B32, 58B34, 58J22]
46L89Other “noncommutative” mathematics based on C*-algebra theory
[See also 58B32, 58B34, 58J22]
46L99None of the above, but in this section