$2$-categories $k$-theory $k$-theoryandoperatoralgebras 14a2218d5019k3519l4719l5020f1046l5553d5558b3481r60 81t4581t4081t3081t0581t6070s0518d0518d5055n34 algebra algebraic algebraicgeometry algebraictopology analysisonmanifolds axiomaticquantumfieldtheory;operatoralgebras bicategoriesandgeneralizations branes) categories(mathematics) categorieswithstructure categorytheory;homologicalalgebra classicalfieldtheories commutativealgebra conformalfieldtheories congresses connectionswithlogicandautomata contactgeometry deformationquantization differentialgeometry doublecategories ellipticcohomology equivariant$k$-theory etc foundations functionalanalysis geometry globalanalysis groupsandalgebrasinquantumtheory grouptheoryandgeneralizations homologyandcohomologytheories homotopytheory hopfalgebras infinite-dimensionalmanifolds kasparovtheory($kk$-theory) lagrangianformalismandhamiltonianformalism mathematics mechanicsofparticlesandsystems noncommutativealgebraicgeometry noncommutativedynamicalsystems noncommutativegeometry noncommutativegeometry(àlaconnes) orderedalgebraicstructures otherdecisionproblems quantumfieldtheory quantumfieldtheory;relatedclassicalfieldtheories quantumtheory selfadjointoperatoralgebras($c^*$-algebras specialaspectsofinfiniteorfinitegroups starproducts stringmodels supersymmetricfieldtheories symplecticgeometry topological$k$-theory topologicalfields topologicalfieldtheories twisted$k$-theory;differential$k$-theory two-dimensionalfieldtheories vonneumann($w^*$-)algebras wordproblems