Quantum Symmetries on Operator Algebras

Author:   David E. Evans (Professor of Mathematics, Professor of Mathematics, University of Wales, Cardiff) ,  Yasuyuki Kawahigashi (Associate Professor, Department of Mathematical Sciences, Associate Professor, Department of Mathematical Sciences, University of Tokyo, Japan)
Publisher:   Oxford University Press
ISBN:  

9780198511755


Pages:   846
Publication Date:   21 May 1998
Format:   Hardback
Availability:   To order   Availability explained
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Quantum Symmetries on Operator Algebras


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Author:   David E. Evans (Professor of Mathematics, Professor of Mathematics, University of Wales, Cardiff) ,  Yasuyuki Kawahigashi (Associate Professor, Department of Mathematical Sciences, Associate Professor, Department of Mathematical Sciences, University of Tokyo, Japan)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 16.10cm , Height: 4.80cm , Length: 24.10cm
Weight:   1.337kg
ISBN:  

9780198511755


ISBN 10:   0198511752
Pages:   846
Publication Date:   21 May 1998
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

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

Reviews

'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


' 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 '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 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


Author 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

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