$k$-theory $k$-theoryandhomology;cyclichomologyandcohomology $k$-theoryandoperatoralgebras 13f3514b0516e4016t0519k5619d5522e4658b3453c2458j42 510 algebraicgeometry algebroids analysisonmanifolds arithmeticringsandotherspecialrings associativeringsandalgebras commutativealgebra commutativerings congresses cyclic differentialgeometry dihedral globalanalysis globalanalysis(mathematics) globaldifferentialgeometry groupoids higheralgebraic$k$-theory homologicalmethods hopfalgebras hopfalgebrasandtheirapplications indextheory infinite-dimensionalmanifolds liegroups localtheory mat173f mat220f mat530f nichtkommutativealgebra noncommutativedifferentialgeometry noncommutativegeometry(àlaconnes) noncommutativeglobalanalysis noncommutativeresidues partialdifferentialequationsonmanifolds;differentialoperators quantumgroupsandrelatedtopics rigidityresults rings(algebra) semisimpleliegroupsandtheirrepresentations si850 singularities topologicalgroups wittvectorsandrelatedrings