Quantum Symmetries on Operator Algebras (Oxford Mathematical Monographs)
| Author | : | |
| Rating | : | 4.38 (599 Votes) |
| Asin | : | 0198511752 |
| Format Type | : | paperback |
| Number of Pages | : | 848 Pages |
| Publish Date | : | 2013-12-23 |
| Language | : | English |
DESCRIPTION:
The theory was initiated by von Neumann and Murray as a tool for studying group representations and as a framework for quantum mechanics, and has since kept in touch with its roots in physics as a framework for quantum statistical mechanics and the formalism of algebraic quantum field theory. This book, one of the first in the area, looks at these combinatorial-algebraic developments from the perspective of operator algebras. With minimal prerequisites from classical theory, it brings the reader to the forefront of research.. However, in 1981, the study of operator algebras took a new turn with the introduction by Vaughn Jones of subfactor theory, leading to remarkable connections with knot theory, 3-manifolds, quantum groups, and integrable systems in statistical mechanics and conformal field theory. In the last 20 years, the study of operator algebras has developed from a branch of functional analysis to a central field of mathematics with applications in both pure mathematics and mathematical physics
Tel: +81 3 5465 7024; fax: +81 3 5465 7012; email: yasuyuki@ms.u-tokyo . Tel: +44 1792 295460; fax: +44 1792 295843; email: David.E.Evans@swansea (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. Evans, Professor of Mathematics, Department of M
The latest developments! Palle E T Jorgensen Students and researchers can find here the material which lies at the foundation of the subject, and read about the latest and most exciting developments in this wonderful book.-- Material which would otherwise be difficult to extract from the diverse journal literature in math and
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 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 chap