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Quantum Symmetries on Operator Algebras[David E. Evans, Yasuyuki Kawahigashi ]
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书名： Quantum symmetries on operator algebras 作者： David E. Evans, Yasuyuki Kawahigashi 出版社： Oxford University Press,1998 格式： djvu Title: Quantum symmetries on operator algebras Series: Oxford Mathematical Monographs Authors: David E. Evans, Yasuyuki Kawahigashi Edition: illustrated edition Year: 1998 Pages: 844 Language: English Publisher: Oxford University Press, USA Size: 7 MB Type: djvu Commentary: 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.  |
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