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

