$k$-theory $k$-theoryandhomology;cyclichomologyandcohomology $k$-theoryandoperatoralgebras 13f3514b0516e4016t0519k5619d5522e4658b3453c2458j42 algebraicgeometry analysisonmanifolds arithmeticringsandotherspecialrings associativeringsandalgebras commutativealgebra commutativerings congresses cyclic differentialgeometry globalanalysis globalanalysis(mathematics) globaldifferentialgeometry higheralgebraic$k$-theory homologicalmethods hopfalgebras hopfalgebrasandtheirapplications indextheory infinite-dimensionalmanifolds liegroups localtheory noncommutativealgebras noncommutativegeometry(àlaconnes) noncommutativeglobalanalysis noncommutativeresidues partialdifferentialequationsonmanifolds;differentialoperators quantumgroupsandrelatedtopics rigidityresults semisimpleliegroupsandtheirrepresentations singularities topologicalgroups wittvectorsandrelatedrings