Tensor categories and endomorphisms of Von Neumann algebras : with applications to quantum field theory /: with applications to quantum field theory. (2015)

• Record Type: Book
• Further Information: Note: Marcel Bischoff, Yasuyuki Kawahigashi, Roberto Longo, Karl-Henning Rehren.
• Authors: Bischoff, Marcel, 1961-; Kawahigashi, Yasuyuki; Longo, Roberto; Rehren, K.-H (Karl-Henning)
• Contents: Introduction -- Homomorphisms of von Neumann algebras -- Endomorphisms of infinite factors -- Homomorphisms and subfactors -- Non-factorial extensions -- Frobenius algebras, Q-systems and modules -- C* Frobenius algebras -- Q-systems and extensions -- The canonical Q-system -- Modules of Q-systems -- Induced Q-systems and Morita equivalence -- Bimodules -- Tensor product of bimodules -- Q-system calculus -- Reduced Q-systems -- Central decomposition of Q-systems -- Irreducible decomposition of Q-systems -- Intermediate Q-systems -- Q-systems in braided tensor categories -- a-induction -- Mirror Q-systems -- Centre of Q-systems -- Braided product of Q-systems -- The full centre -- Modular tensor categories -- The braided product of two full centres -- Applications in QFT -- Basics of algebraic quantum field theory -- Hard boundaries -- Transparent boundaries -- Further directions -- Conclusions.
• Publisher Details: Cham : Springer
• Publication Date: 2015
• Copyright Date: 2015
• Extent: 1 online resource (x, 94 pages), illustrations
• Subjects: 515/.63; Physics; Calculus of tensors; Von Neumann algebras; Quantum field theory; MATHEMATICS -- Calculus; MATHEMATICS -- Mathematical Analysis; Calculus of tensors; Quantum field theory; Von Neumann algebras; Science -- Mathematical Physics; Mathematics -- Algebra -- General; Mathematical physics; Algebra; Algebra; Science -- Quantum Theory; Statistical physics; Electronic books
• Languages: English
• ISBNs: 9783319143019; 3319143018; 9783319143002
• Related ISBNs: 331914300X; 9783319143002
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed January 30, 2015).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.