BOOK

Quantum Symmetries on Operator Algebras

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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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Detail Information

Series Title

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Call Number

512 E92

Publisher

: Oxford University Press., 1998

Collation

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Language

English

ISBN/ISSN

0198511752

Classification

512

Content Type

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Media Type

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Carrier Type

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Edition

1st

Subject(s)

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Specific Detail Info

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Statement of Responsibility

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