$2$-categories $k$-theory $k$-theoryandoperatoralgebras 14a2218d5019k3519l4719l5020f1046l5553d5558b3481r60 16t0516t1016s4016t3017b3517b3718d1018c1519a22 16w3016t0517b3718d1019d2320g42 81t4581t4081t3081t0581t6070s0518d0518d5055n34 algebraicgeometry algebraictopology algebrasforatriple analysisonmanifolds associativeringsandalgebras axiomaticquantumfieldtheory;operatoralgebras bialgebras bicategoriesandgeneralizations braidedcategories branes) burnsideandrepresentationrings categoriesandtheories categorytheory;homologicalalgebra classicalfieldtheories commutativealgebra conformalfieldtheories congresses connectionswithcombinatorics connectionswithlogicandautomata contactgeometry deformationquantization differentialgeometry doublecategories ellipticcohomology equivariant$k$-theory etc foundations frobeniusinduction functionalanalysis globalanalysis grothendieckgroupsand$k_0$ groupsandalgebrasinquantumtheory grouptheoryandgeneralizations higheralgebraic$k$-theory homologyandcohomologytheories homologyandderivedfunctorsfortriples hopfalgebras hopfalgebrasandtheirapplications infinite-dimensionalmanifolds kasparovtheory($kk$-theory) lagrangianformalismandhamiltonianformalism liealgebrasandliesuperalgebras linearalgebraicgroupsandrelatedtopics mathematics mechanicsofparticlesandsystems monadortriad) monoidalcategories(=multiplicativecategories) nonassociativeringsandalgebras noncommutativealgebraicgeometry noncommutativedynamicalsystems noncommutativegeometry noncommutativegeometry(àlaconnes) operads otherdecisionproblems quantumfieldtheory quantumfieldtheory;relatedclassicalfieldtheories quantumgroups(quantizedenvelopingalgebras)andrelateddeformations quantumgroups(quantizedfunctionalgebras)andtheirrepresentations quantumgroupsandrelatedtopics quantumtheory ringsandalgebrasarisingundervariousconstructions selfadjointoperatoralgebras($c^*$-algebras smashproductsofgeneralhopfactions specialaspectsofinfiniteorfinitegroups starproducts stringmodels supersymmetricfieldtheories symmetricmonoidalcategories symplecticgeometry tensorfields topological$k$-theory topologicalfields topologicalfieldtheories triples(=standardconstruction twisted$k$-theory;differential$k$-theory two-dimensionalfieldtheories universalenveloping(super)algebras vonneumann($w^*$-)algebras wordproblems