46Lxx


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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, 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