Entropy for Canonical Shifts

DOI10.2307/2154484zbMath0773.46032OpenAlexW4249710762MaRDI QIDQ4032478

Marie Choda

Publication date: 1 April 1993

Full work available at URL: https://doi.org/10.2307/2154484

zbMATH Keywords

relative entropysubfactorsinjective von Neumann algebrageneralized indexvon Neumann algebra generated by the tower of relative commutants\(*\)-endomorphismtype \(II_ 1\)-factors\(n\)-shift

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Subfactors and their classification (46L37) Classifications of (C^*)-algebras (46L35)

Related Items (13)

An inclusion of type III factors with index 4 arising from an automorphism ⋮ Entropy for extensions of Bernoulli shifts ⋮ QUANTUM MECHANICS IN AFC*-SYSTEMS ⋮ Conjugate but non inner conjugate subfactors ⋮ Entropy of endomorphisms and relative entropy in finite von Neumann algebras ⋮ Entropy for canonical shifts. II ⋮ Minimal index and braided subfactors ⋮ Entropy of automorphisms of \(\text{II}_1\)-factors arising from the dynamical systems theory ⋮ Commutators associated to a subfactor and its relative commutants ⋮ Shifts on the hyperfinite \(II_1\) factor ⋮ A \(C^*\)-dynamical entropy and applications to canonical endomorphisms ⋮ On the ranks of skew-centrosymmetric matrices over finite fields ⋮ AMENABILITY AND STRONG AMENABILITY FOR FUSION ALGEBRAS WITH APPLICATIONS TO SUBFACTOR THEORY

Cites Work

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• Solution of the factorial Stone-Weierstrass conjecture. An application of the theory of standard split \(W^*\)-inclusions
• Maximal injective subalgebras in factors associated with free groups
• Dynamical entropy of C *-algebras and von Neumann algebras
• Classification of subfactors: The reduction to commuting squares
• Simple injective subfactors
• Index for subfactors
• Conditional expectation in an operator algebra
• Iterating the Basic Construction
• An Index Theory for Semigroups of *-Endomorphisms of and Type II₁ Factors.
• Entropy and index for subfactors

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