Quantum Symmetries on Operator Algebras

Zusatztext ' This monumental book presents some of the most exciting developments of the past 15 years within operator algebra theory and its interaction with mathematical physics and algebraic topology ... a rich source of study and references in this extensively annotated and documented volume! and not least a wide range of new perspectives on their own subject' MathsSciNet Informationen zum Autor (until early 1998) Professor David E. Evans, Professor of Mathematics, Department of Mathematics, University of Wales, Swansea, Singleton Park, Swansea, SA2 8PP, WALES. Tel: [phone]; fax: [phone]; email: [e-mail] (from early 1998) Mathematics Institute, University of Wales, Cardiff, Senghennydd Road, Cardiff CF2 4YH Tel: [phone]; fax: [phone] Professor Yasuyuki Kawahigashi, Associate Professor, Department of Mathematical Sciences, University of Tokyo, Komaba, Tokyo, 153, JAPAN. Tel: [phone]; fax: [phone]; email: [e-mail] Klappentext The study of operator algebras took a new turn with the introduction in 1981 by Vaughan Jones of subfactor theory and remarkable connections were found with knot theory, 3-manifolds, quantum groups and integrable systems in statistical mechanics and conformal field theory. This is the first book to look at these developments, particularly the combinatorial-algebraic aspects, from the perspective of operator algebras--to bring the reader to the frontline of researchwith the minimum of prerequisites from the classical theory. Zusammenfassung This work examines how the study of operator alegbras took a new turn with the introduction of subfactor theory, and how remarkable connections were found with knot theory, 3-manifolds, quantum groups and integrable systems in statistical mechanics and conformal theory. In the OXFORD MATHEMATICAL MONOGRAPHS series.

Product details

• Authors: David E. Evans, David E. Kawahigashi Evans, EVANS DAVID E KAWAHIGASHI YASUY, Yasuyuki Kawahigashi, Kawahigashi Yasuyuki
• Publisher: Oxford University Press
• Languages: English
• Product format: Hardback
• Released: 01.09.1998
• EAN: 9780198511755
• ISBN: 978-0-19-851175-5
• No. of pages: 846
• Series: Oxford Mathematical Monographs; Oxford Mathematical Monographs
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; Algebra, SCIENCE / Physics / General, SCIENCE / Physics / Quantum Theory, MATHEMATICS / History & Philosophy, MATHEMATICS / Functional Analysis, MATHEMATICS / Algebra / General, Quantum physics (quantum mechanics & quantum field theory), Quantum physics (quantum mechanics and quantum field theory), Mathematical foundations, Functional analysis & transforms, Statistical physics, Functional analysis and transforms