OAI/Analysis/KadisonKastler/PublishedLocalizedEmbedding.lean
3 declarations, 0 contain sorry, 0 declared as axioms
The localized published amenable embedding
Cameron--Christensen--Sinclair--Smith--White--Wiggins, Kadison--Kastler
stable factors, Duke Math. J. 163 (2014), Theorem 3.3(i), printed p.13,
arXiv:1209.4116v3. The unitary belongs to (P ∪ B)'' and has displacement
at most 150 * γ. This retains that location, needed for the second
preparation step, and omits the unused pointwise 100 * γ estimate.
- def
OAI.KadisonKastler.PublishedLocalizedAmenableEmbeddingline 22Source documentation
Precisely the inclusion, displacement and localization portions of the published one-sided embedding theorem.
def PublishedLocalizedAmenableEmbedding : Prop := …
- theorem
OAI.KadisonKastler.PublishedLocalizedAmenableEmbedding.forget_locationline 30 - theorem
OAI.KadisonKastler.exists_prepared_right_correctionline 39Source documentation
The second published embedding preserves the first common inclusion. The distance estimate is expressed on the original Hilbert space.
theorem exists_prepared_right_correction (hpub : PublishedLocalizedAmenableEmbedding (H := H)) …Mentions: OAI.KadisonKastler.PublishedLocalizedAmenableEmbedding