The canonical endomorphism for infinite index inclusions

DOI10.4171/ZAA/869zbMath0933.46059OpenAlexW2094187647MaRDI QIDQ1284525

Francesco Fidaleo, Tommaso Isola

Publication date: 29 March 2000

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48368

zbMATH Keywords

von Neumann algebraendomorphismregular representationquantum objectWoronowicz algebrasfaithful conditional expectationJones' tower

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Subfactors and their classification (46L37)

Related Items

Classification of subsystems for graded-local nets with trivial superselection structure, Galois correspondence and Fourier analysis on local discrete subfactors, A planar algebraic description of conditional expectations, Infinite index extensions of local nets and defects, Unnamed Item, MONOIDS, EMBEDDING FUNCTORS AND QUANTUM GROUPS, Generalization of Longo-Rehren construction to subfactors of infinite depth and amenability of fusion algebras, Compact hypergroups from discrete subfactors, Skew-product dynamical systems for crossed product \(C^\ast \)-algebras and their ergodic properties, WEAK AND STRONG MARTINGALE CONVERGENCES OF GENERALIZED CONDITIONAL EXPECTATIONS IN NONCOMMUTATIVE L^p-SPACES

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characterization of crossed product (properly infinite case)
• Index of subfactors and statistics of quantum fields. II: Correspondences, braid group statistics and Jones polynomial
• Extension of Jones' theory on index of arbitrary factors
• Finite weight projections in von Neumann algebras
• Minimal index and braided subfactors
• Irreducible inclusions of factors and multiplicative unitaries
• A duality for Hopf algebras and for subfactors. I
• Simple injective subfactors
• Index of subfactors and statistics of quantum fields. I
• A von Neumann algebra framework for the duality of the quantum groups
• Irreducible inclusions of factors, multiplicative unitaries, and Kac algebras
• Entropy and index for subfactors
• Groupe modulaire d'une espérance conditionnelle dans une algèbre de von Neumann
• MINIMAL EXPECTATIONS FOR INCLUSIONS WITH ATOMIC CENTRES
• NETS OF SUBFACTORS
• A COMMENT ON JONES INCLUSIONS WITH INFINITE INDEX
• On the Conjugate Endomorphism in the Infinite Index Case.
• Inner Product Modules Over B ∗ -Algebras
• Duality for crossed products of von Neumann algebras