Entropy for extensions of Bernoulli shifts

DOI10.1017/S0143385700009986zbMath0865.46047OpenAlexW2326661957MaRDI QIDQ5284765

Marie Choda

Publication date: 22 January 1997

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700009986

zbMATH Keywords

extensionsautomorphismsBernoulli shiftentropiesfinite von Neumann algebrashyperfinite \(\text{II}_ 1\) factortensor product formula

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35) Ergodic theory (37A99) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (8)

QUANTUM DYNAMICAL ENTROPY FOR COMPLETELY POSITIVE MAP ⋮ Note on transmitted complexity for quantum dynamical systems ⋮ On entropy of quantum compound systems ⋮ Note on entropies for quantum dynamical systems ⋮ Note on entropies of quantum dynamical systems ⋮ Some Aspects of Complexities for Quantum Processes ⋮ On Complexity for Open System Dynamics ⋮ Quantum transmission processes and their entropies

Cites Work

• Dynamical entropy of C *-algebras and von Neumann algebras
• Shifts of integer index on the hyperfinite \(II_ 1\) factor
• Entropy of Bogoliubov automorphisms of the canonical anticommutation relations
• Entropy for canonical shifts. II
• Index for subfactors
• Dynamical approximation entropies and topological entropy in operator algebras
• ENTROPY OF SOME INNER AUTOMORPHISMS OF THE HYPERFINITE II₁-FACTOR
• An Index Theory for Semigroups of *-Endomorphisms of and Type II₁ Factors.
• Notes on Cartan subalgebras in type $\mathrm{II}_1$ factors.
• On the entropy in II₁ von Neumann algebras
• An amenable equivalence relation is generated by a single transformation
• Entropy for Canonical Shifts
• Conjugate but non inner conjugate subfactors

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