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Book Review

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Book Information:

Authors: D. Evans and Y. Kawahigashi
Title: Quantum symmetries on operator algebras
Additional book information: Oxford Univ. Press, New York, 1998, xv + 829 pp., ISBN 0-19-851175-2, $200.00

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[27] Antony Wassermann, Operator algebras and conformal field theory. III. Fusion of positive energy representations of 𝐿𝑆𝑈(𝑁) using bounded operators, Invent. Math. 133 (1998), no. 3, 467–538. MR 1645078, https://doi.org/10.1007/s002220050253
[28] Hans Wenzl, 𝐶* tensor categories from quantum groups, J. Amer. Math. Soc. 11 (1998), no. 2, 261–282. MR 1470857, https://doi.org/10.1090/S0894-0347-98-00253-7
[29] Feng Xu, Standard 𝜆-lattices from quantum groups, Invent. Math. 134 (1998), no. 3, 455–487. MR 1660937, https://doi.org/10.1007/s002220050271

Review Information:

Reviewer: Vaughan F. R. Jones
Affiliation: University of California, Berkeley
Email: vfr@math.berkeley.edu

Journal: Bull. Amer. Math. Soc. 38 (2001), 369-377
MSC (2000): Primary 46Lxx, 81T75, 81T45, 81T05, 81T40, 81T08, 57R56
Published electronically: March 27, 2001
Review copyright: © Copyright 2001 American Mathematical Society