46H99 None of the above, but in this section

46Jxx Commutative Banach algebras and commutative topological algebras [See also <a href="#code:46E25">46E25</a>]

46J05 General theory of commutative topological algebras

46J10 Banach algebras of continuous functions, function algebras [See also <a href="#code:46E25">46E25</a>]

46J15 Banach algebras of differentiable or analytic functions, $H^p$-spaces [See also <a href="#code:30H10">30H10</a>, <a href="#code:32A35">32A35</a>, <a href="#code:32A37">32A37</a>, <a href="#code:32A38">32A38</a>, <a href="#code:42B30">42B30</a>]

46J20 Ideals, maximal ideals, boundaries

46J25 Representations of commutative topological algebras

46J40 Structure, classification of commutative topological algebras

46J99 None of the above, but in this section

46Kxx Topological (rings and) algebras with an involution [See also <a href="#code:16W10">16W10</a>]

46K05 General theory of topological algebras with involution

46K10 Representations of topological algebras with involution

46K50 Nonselfadjoint (sub)algebras in algebras with involution

46K70 Nonassociative topological algebras with an involution [See also <a href="#code:46H70">46H70</a>, <a href="#code:46L70">46L70</a>]

46K99 None of the above, but in this section

46Lxx Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) [See also <a href="#code:22D25">22D25</a>, <a href="#code:47Lxx">47Lxx</a>]

46L07 Operator spaces and completely bounded maps [See also <a href="#code:47L25">47L25</a>]

46L10 General theory of von Neumann algebras

46L37 Subfactors and their classification

46L45 Decomposition theory for $C^*$-algebras

46L51 Noncommutative measure and integration

46L53 Noncommutative probability and statistics

46L54 Free probability and free operator algebras

46L55 Noncommutative dynamical systems [See also <a href="#code:28Dxx">28Dxx</a>, <a href="#code:37Kxx">37Kxx</a>, <a href="#code:37Lxx">37Lxx</a>, <a href="#code:54H20">54H20</a>]

46L57 Derivations, dissipations and positive semigroups in $C^*$-algebras