Quantum Multiple Construction of Subfactors
Canadian mathematical bulletin, Tome 51 (2008) no. 3, pp. 321-333
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We construct the quantum $s$ -tuple subfactors for an AFD $\text{I}{{\text{I}}_{1}}$ subfactor with finite index and depth, for an arbitrary natural number $s$ . This is a generalization of the quantum multiple subfactors by Erlijman and Wenzl, which in turn generalized the quantum double construction of a subfactor for the case that the original subfactor gives rise to a braided tensor category. In this paper we give a multiple construction for a subfactor with a weaker condition than braidedness of the bimodule system.
Asaeda, Marta. Quantum Multiple Construction of Subfactors. Canadian mathematical bulletin, Tome 51 (2008) no. 3, pp. 321-333. doi: 10.4153/CMB-2008-032-1
@article{10_4153_CMB_2008_032_1,
author = {Asaeda, Marta},
title = {Quantum {Multiple} {Construction} of {Subfactors}},
journal = {Canadian mathematical bulletin},
pages = {321--333},
year = {2008},
volume = {51},
number = {3},
doi = {10.4153/CMB-2008-032-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-032-1/}
}
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