Quantum Symmetries on Operator Algebras

by David E. Evans and Yasuyuki Kawahigashi

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. 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. 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. 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.

• Format: Hardcover
• Language: English
• ISBN: 0198511752
• ISBN13: 9780198511755
• Release Date: July 1998
• Publisher: Oxford University Press, USA
• Length: 848 Pages
• Weight: 2.81 lbs.
• Dimensions: 1.9" x 9.2" x 6.1"