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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, $200.00$

Ola Bratteli, Inductive limits of finite dimensional $C^{\ast } $-algebras, Trans. Amer. Math. Soc. 171 (1972), 195–234. MR 312282, DOI https://doi.org/10.1090/S0002-9947-1972-0312282-2
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Antony Wassermann, Operator algebras and conformal field theory. III. Fusion of positive energy representations of ${\rm LSU}(N)$ using bounded operators, Invent. Math. 133 (1998), no. 3, 467–538. MR 1645078, DOI https://doi.org/10.1007/s002220050253
Hans Wenzl, $C^*$ tensor categories from quantum groups, J. Amer. Math. Soc. 11 (1998), no. 2, 261–282. MR 1470857, DOI https://doi.org/10.1090/S0894-0347-98-00253-7
Feng Xu, Standard $\lambda $-lattices from quantum groups, Invent. Math. 134 (1998), no. 3, 455–487. MR 1660937, DOI https://doi.org/10.1007/s002220050271

Review Information:

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