AQFT and operator algebra

homotopical algebraic quantum field theory

quantum mechanical system

observable

operator algebra

C*-algebra

von Neumann algebra

subsystem

state,

local net of observables

Haag-Kastler axioms

Wightman axioms

causal net

field net

conformal net

Kochen-Specker theorem

Gleason's theorem

Wigner theorem

GNS construction

modular theory

Fell's theorem

Stone-von Neumann theorem

Haag's theorem

Reeh-Schlieder theorem

Bisognano-Wichmann theorem

PCT theorem

spin-statistics theorem

DHR superselection theory

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