Canonical extension of endomorphisms of type III factors
Copyright policy )Canonical extension of endomorphisms of type III factors
We extend the notion of the canonical extension of automorphisms of type III factors to the case of endomorphisms with finite statistical dimensions. Following the automorphism case, we introduce two notions for endomorphisms of type III factors: modular endomorphisms and Connes-Takesaki modules. Several applications to compact groups of automorphisms and subfactors of type III factors are given from the viewpoint of ergodic theory.
- Kyoto University Japan
Roberts actions, compact groups actions, canonical extension, General theory of von Neumann algebras, Mathematics - Operator Algebras, Topological dynamics, Classifications of \(C^*\)-algebras, Subfactors and their classification, endomorphisms with finite statistical dimension, ergodic transformation groups, FOS: Mathematics, Operator Algebras (math.OA), type III factors
Roberts actions, compact groups actions, canonical extension, General theory of von Neumann algebras, Mathematics - Operator Algebras, Topological dynamics, Classifications of \(C^*\)-algebras, Subfactors and their classification, endomorphisms with finite statistical dimension, ergodic transformation groups, FOS: Mathematics, Operator Algebras (math.OA), type III factors
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