Quantum Symmetries on Operator Algebras (inbunden)
Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
846
Utgivningsdatum
1998-05-01
Upplaga
illustrated ed
Förlag
OUP Oxford
Medarbetare
Kawahigashi, Yasuyuki
Illustrationer
401figs. bibliog., index
Dimensioner
155 x 234 x 48 mm
Vikt
1276 g
Antal komponenter
1
Komponenter
xv, 829 p. :
ISBN
9780198511755

Quantum Symmetries on Operator Algebras

Inbunden,  Engelska, 1998-05-01
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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 research with the minimum of prerequisites from the classical theory.
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Fler böcker av David E Evans

Recensioner i media

'This is a most remarkable book, and it certainly gives a hand to many mathematician, researchers as well as graduate students. On less than 850 pages, the author present vital information about 124 subjects in 15 chapters, in a manner accessible to any broadly trained analyst.....As a collection of broad and relevant information the book bears some similarity to the famous volumes of Dunford and Scwarz' Zentralblatt Mathematik

'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...In the preface the authors state:this is aimed at graduate students and researchers in operator algebras, and statistical mechanics, algebraic, topolgical and conformal field theory and low dimensional topological invarieants. All ot these will find 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.' Mathematical Reviews

' 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

Övrig information

(until early 1998) Professor David E. Evans, Professor of Mathematics, Department of Mathematics, University of Wales, Swansea, Singleton Park, Swansea, SA2 8PP, WALES. Tel: +44 1792 295460; fax: +44 1792 295843; email: David.E.Evans@swansea.ac.uk (from early 1998) Mathematics Institute, University of Wales, Cardiff, Senghennydd Road, Cardiff CF2 4YH Tel: +44 1222 874827; fax: +44 1222 874199 Professor Yasuyuki Kawahigashi, Associate Professor, Department of Mathematical Sciences, University of Tokyo, Komaba, Tokyo, 153, JAPAN. Tel: +81 3 5465 7024; fax: +81 3 5465 7012; email: yasuyuki@ms.u-tokyo.ac.jp

Innehållsförteckning

1. Operator theory basics; 2. C*-algebra basics; 3. K-theory; 4. Positivity and semigroups; 5. von Neumann algebra basics; 6. The Fermion algebra; 7. The Ising model; 8. Conformal field theory; 9. Subfactors and bimodules; 10. Axiomatization of paragroups; 11. String algebras and flat connections; 12. Topological quantum field theory (TQFT) and paragroups; 13. Rational conformal field theory (RCFT) and paragroups; 14. Commuting squares of II1 factors; 15. Automorphisms of subfactors and central sequences; Bibliography; Index