theorem 109.72 Tomita–Takesaki; imported

open in the book · parts/11-qft-standard-model/11-axiomatic-qft.tex:2284 · p. 2318

Rests on

depends_on theorem 109.34 Reeh–Schlieder ¶
- depends_on axiom 109.15 Cyclicity of the vacuum ¶
- depends_on axiom 109.14 Local commutativity ¶
- depends_on theorem 109.26 Analyticity in the forward tube ¶
  - depends_on equation 109.16 eq:axqft-wightman-support ¶
  - depends_on lemma 109.25 Positivity of the cone pairing ¶
    - depends_on notation 109.8 Conventions of this chapter ¶
    - proves proof ch:11-axiomatic-qft@proof-7 ¶
  - proves proof ch:11-axiomatic-qft@proof-8 ¶
- proves proof ch:11-axiomatic-qft@proof-11 ¶

Supports

depends_on proposition 109.74 The vacuum is thermal in a wedge ¶
depends_on theorem 109.73 Bisognano–Wichmann; imported ¶
- depends_on proposition 109.74 The vacuum is thermal in a wedge ¶ ↺

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`cites`	→	Tomita's Theory of Modular Hilbert Algebras and its Applications	derived	parts/11-qft-standard-model/11-axiomatic-qft.tex:2295
`depends_on`	→	Reeh–Schlieder	declared	parts/11-qft-standard-model/11-axiomatic-qft.tex:2296
`depends_on`	←	The vacuum is thermal in a wedge	declared	parts/11-qft-standard-model/11-axiomatic-qft.tex:2333
`depends_on`	←	Bisognano–Wichmann; imported	declared	parts/11-qft-standard-model/11-axiomatic-qft.tex:2319