OAI/Analysis/KadisonKastler/PublishedCenterInjectivity.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Published injectivity of the concrete center
Blackadar, Operator Algebras, Corollary IV.2.2.10, p. 377 (PDF p. 385), states that commutative von Neumann algebras are injective. Proposition IV.2.1.4(iii), p. 373, gives the norm-one projection in every faithful representation. Only centers in their given representation are retained.
Primary text: https://bruceblackadar.com/Mathematics/Cycr.pdf
- def
OAI.KadisonKastler.PublishedCenterInjectivityline 21Source documentation
The represented-center specialization; no perturbation conclusion is assumed.
def PublishedCenterInjectivity : Prop := …