$k$-theory $k$-theoryandoperatoralgebras $p$-adicrepresentationsoffinitegroups 01a6020-03 14a2218d5019k3519l4719l5020f1046l5553d5558b3481r60 16w3016t0517b3718d1019d2320g42 17b3717b5517b5617b6517b6720c0820c1120g0520g4220g43 20d0520c20 20h1028a7837f3520f6720e0837a4522e6520m20 20thcentury abstract abstractfinitegroups algebra algebraicgeometry algebraictopology analysisonmanifolds artificialintelligence associativeringsandalgebras braidedcategories categorieswithstructure categorytheory categorytheory;homologicalalgebra classicalmeasuretheory cohomologyoflie(super)algebras coldwar combinatorics commutativealgebra complexdynamicalsystems conformaldensitiesandhausdorffdimension congresses connectionswithlogicandautomata contactgeometry deformationquantization differentialgeometry distribution(probabilitytheory) dynamicalsystemsandergodictheory equivariant$k$-theory ergodictheory etc fieldtheoryandpolynomials finitesimplegroups finitesimplegroupsandtheirclassification foundations fuchsiangroupsandtheirgeneralizations functionalanalysis general geometry globalanalysis groupsactingontrees groupsandalgebrasinquantumtheory grouptheory hausdorffandpackingmeasures heckealgebrasandtheirrepresentations higheralgebraic$k$-theory historical(mustalsobeassignedatleastoneclassificationnumberfromsection01) history historyandbiography historyofmathematicsandmathematicians homologicalalgebra homologicalmethodsinlie(super)algebras hopfalgebras hopfalgebrasandtheirapplications hyperbolic hyperbolicgroupsandnonpositivelycurvedgroups hyperbolicspaces infinite-dimensionallie(super)algebras infinite-dimensionalliegroupsandtheirliealgebras:generalproperties infinite-dimensionalmanifolds instructionalexposition(textbooks kac-moody(super)algebras;extendedaffineliealgebras;toroidalliealgebras kasparovtheory($kk$-theory) knottheory liealgebras liealgebrasandliesuperalgebras liegroups linearalgebraicgroupsandrelatedtopics linktheory logic mathematicalandcomputationalphysics mathematicallogicandfoundations mathematics measureandintegration metricspaces modularrepresentationsandcharacters monoidalcategories(=multiplicativecategories) nonassociativeringsandalgebras noncommutativealgebraicgeometry noncommutativedynamicalsystems noncommutativegeometry noncommutativegeometry(àlaconnes) operads otherdecisionproblems othergroupsofmatrices probabilitytheoryandstochasticprocesses quantumgroups(quantizedenvelopingalgebras)andrelateddeformations quantumgroups(quantizedfunctionalgebras)andtheirrepresentations quantumgroupsandrelatedtopics quantumtheory relationswithnumbertheoryandharmonicanalysis representationsofgroups representationtheory representationtheoryofgroups schurand$q$-schuralgebras selfadjointoperatoralgebras($c^*$-algebras semigroups semigroupsoftransformations specialaspectsofinfiniteorfinitegroups starproducts structureandclassificationofinfiniteorfinitegroups symbolicandmathematical symmetricmonoidalcategories symplecticgeometry tensorfields theoretical topological$k$-theory topologicalgroups tutorialpapers twisted$k$-theory;differential$k$-theory vonneumann($w^*$-)algebras wordproblems