$k$-theory $k$-theoryandhomology;cyclichomologyandcohomology $k$-theoryandoperatoralgebras 13f3514b0516e4016t0519k5619d5522e4658b3453c2458j42 16t0516t1016s4016t3017b3517b3718d1018c1519a22 16w3016t0517b3718d1019d2320g42 algebraicgeometry algebraictopology algebrasforatriple analysisonmanifolds arithmeticringsandotherspecialrings associativeringsandalgebras bialgebras braidedcategories burnsideandrepresentationrings categoriesandtheories categorieswithstructure categorytheory;homologicalalgebra commutativealgebra commutativerings congresses connectionswithcombinatorics cyclic differentialgeometry dihedral frobeniusinduction globalanalysis globalanalysis(mathematics) globaldifferentialgeometry grothendieckgroupsand$k_0$ grouptheoryandgeneralizations higheralgebraic$k$-theory homologicalmethods homologyandderivedfunctorsfortriples hopfalgebras indextheory infinite-dimensionalmanifolds liealgebrasandliesuperalgebras liegroups linearalgebraicgroupsandrelatedtopics localtheory monadortriad) monoidalcategories(=multiplicativecategories) nonassociativeringsandalgebras noncommutativealgebras noncommutativegeometry(àlaconnes) noncommutativeglobalanalysis noncommutativeresidues partialdifferentialequationsonmanifolds;differentialoperators quantumgroups(quantizedenvelopingalgebras)andrelateddeformations quantumgroups(quantizedfunctionalgebras)andtheirrepresentations quantumgroupsandrelatedtopics rigidityresults ringsandalgebrasarisingundervariousconstructions semisimpleliegroupsandtheirrepresentations singularities smashproductsofgeneralhopfactions symmetricmonoidalcategories tensorfields topologicalgroups triples(=standardconstruction universalenveloping(super)algebras wittvectorsandrelatedrings