$k$-theory $k$-theoryandhomology;cyclichomologyandcohomology $k$-theoryandoperatoralgebras 13f3514b0516e4016t0519k5619d5522e4658b3453c2458j42 16w3016t0517b3718d1019d2320g42 algebraicgeometry algebraictopology analysisonmanifolds arithmeticringsandotherspecialrings associativeringsandalgebras braidedcategories categorieswithstructure categorytheory;homologicalalgebra commutativealgebra commutativerings congresses cyclic differentialgeometry dihedral globalanalysis globalanalysis(mathematics) globaldifferentialgeometry grouptheoryandgeneralizations homologicalmethods hopfalgebras hopfalgebrasandtheirapplications indextheory infinite-dimensionalmanifolds liealgebrasandliesuperalgebras liegroups linearalgebraicgroupsandrelatedtopics localtheory monoidalcategories(=multiplicativecategories) nonassociativeringsandalgebras noncommutativealgebras noncommutativegeometry(àlaconnes) noncommutativeglobalanalysis noncommutativeresidues partialdifferentialequationsonmanifolds;differentialoperators quantumgroups(quantizedenvelopingalgebras)andrelateddeformations quantumgroups(quantizedfunctionalgebras)andtheirrepresentations quantumgroupsandrelatedtopics rigidityresults semisimpleliegroupsandtheirrepresentations singularities symmetricmonoidalcategories tensorfields topologicalgroups wittvectorsandrelatedrings