22-02 Research exposition (monographs, survey articles)

22-03 Historical (must also be assigned at least one classification number from Section 01)

22-04 Explicit machine computation and programs (not the theory of computation or programming)

22-06 Proceedings, conferences, collections, etc.

22Axx Topological and differentiable algebraic systems {For topological rings and fields, see <a href="#code:12Jxx">12Jxx</a>, <a href="#code:13Jxx">13Jxx</a>, <a href="#code:16W80">16W80</a>}

22A05 Structure of general topological groups

22A10 Analysis on general topological groups

22A15 Structure of topological semigroups

22A20 Analysis on topological semigroups

22A22 Topological groupoids (including differentiable and Lie groupoids) [See also <a href="#code:58H05">58H05</a>]

22A25 Representations of general topological groups and semigroups

22A26 Topological semilattices, lattices and applications [See also <a href="#code:06B30">06B30</a>, <a href="#code:06B35">06B35</a>, <a href="#code:06F30">06F30</a>]

22A30 Other topological algebraic systems and their representations

22A99 None of the above, but in this section

22Bxx Locally compact abelian groups (LCA groups)

22B05 General properties and structure of LCA groups

22B10 Structure of group algebras of LCA groups

22B99 None of the above, but in this section

22C99 None of the above, but in this section

22Dxx Locally compact groups and their algebras

22D05 General properties and structure of locally compact groups

22D10 Unitary representations of locally compact groups

22D12 Other representations of locally compact groups

22D15 Group algebras of locally compact groups

22D25 $C^*$-algebras and $W^*$-algebras in relation to group representations [See also <a href="#code:46Lxx">46Lxx</a>]

22D40 Ergodic theory on groups [See also <a href="#code:28Dxx">28Dxx</a>]

22D45 Automorphism groups of locally compact groups

22D99 None of the above, but in this section

22Exx Lie groups {For the topology of Lie groups and homogeneous spaces, see <a href="#code:57Sxx">57Sxx</a>, <a href="#code:57Txx">57Txx</a>; for analysis thereon, see <a href="#code:43A80">43A80</a>, <a href="#code:43A85">43A85</a>, <a href="#code:43A90">43A90</a>}