Open Access
January, 2000 Quantum double construction for subfactors arising from periodic commuting squares
Satoshi GOTO
J. Math. Soc. Japan 52(1): 187-198 (January, 2000). DOI: 10.2969/jmsj/05210187


By generalizing Erlijman's method, we construct a subfactor from a fusion rule algebra with quantum 6j-symbols which produce periodic commuting squares. This construction produces the same subfactor as Ocneanu's asymptotic inclusion for the subfactor which is generated by the original periodic commuting square. This result can be applied to the quantum SU(n)k subfactors which is the same as Hecke algebra subfactors of type A of Wenzl for example, which shows that Erlijman's construction gives the same subfactor as the asymptotic inclusion.


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Satoshi GOTO. "Quantum double construction for subfactors arising from periodic commuting squares." J. Math. Soc. Japan 52 (1) 187 - 198, January, 2000.


Published: January, 2000
First available in Project Euclid: 10 June 2008

zbMATH: 0955.46034
MathSciNet: MR1727194
Digital Object Identifier: 10.2969/jmsj/05210187

Primary: 46L37

Keywords: paragroups , quantum doubles , subfactors

Rights: Copyright © 2000 Mathematical Society of Japan

Vol.52 • No. 1 • January, 2000
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