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[资源] Quantum Symmetries on Operator Algebras[David E. Evans, Yasuyuki Kawahigashi ]

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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