46XX 


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 


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] 


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 