MATHEMATICS $K$-theory $K$-theory and operator algebras Algebra Algebraic topology Algèbres d'opérateurs Classifications of $C^*$-algebras Functional analysis General theory of $C^*$-algebras General theory of von Neumann algebras Index theory Intermediate K-theory K-théorie Lie groups Noncommutative differential geometry Noncommutative dynamical systems Operator algebras Representations of Lie and linear algebraic groups over real fields: analytic methods Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$- ) algebras, etc.) Topological groups, Lie groups Topologie algébrique Topologische K-Theorie Topology