$k$-theory $k$-theoryandhomology;cyclichomologyandcohomology $k$-theoryandoperatoralgebras 13f3514b0516e4016t0519k5619d5522e4658b3453c2458j42 14a2218d5019k3519l4719l5020f1046l5553d5558b3481r60 algebraicgeometry analysisonmanifolds arithmeticringsandotherspecialrings associativeringsandalgebras categorieswithstructure categorytheory;homologicalalgebra commutativealgebra commutativerings congresses connectionswithlogicandautomata contactgeometry cyclic deformationquantization differentialgeometry dihedral equivariant$k$-theory foundations functionalanalysis globalanalysis globalanalysis(mathematics) globaldifferentialgeometry groupsandalgebrasinquantumtheory grouptheoryandgeneralizations higheralgebraic$k$-theory homologicalmethods hopfalgebras hopfalgebrasandtheirapplications indextheory kasparovtheory($kk$-theory) liegroups localtheory noncommutativealgebraicgeometry noncommutativealgebras noncommutativedynamicalsystems noncommutativegeometry noncommutativegeometry(àlaconnes) noncommutativeglobalanalysis noncommutativeresidues operads otherdecisionproblems partialdifferentialequationsonmanifolds;differentialoperators quantumgroupsandrelatedtopics quantumtheory rigidityresults selfadjointoperatoralgebras($c^*$-algebras semisimpleliegroupsandtheirrepresentations singularities specialaspectsofinfiniteorfinitegroups starproducts symplecticgeometry topological$k$-theory topologicalgroups twisted$k$-theory;differential$k$-theory vonneumann($w^*$-)algebras wittvectorsandrelatedrings wordproblems