Finite index subfactors and Hopf algebra crossed products
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- by Wojciech Szymański PDF
- Proc. Amer. Math. Soc. 120 (1994), 519-528 Request permission
Abstract:
We show that if ${\mathbf {N}} \subseteq {\mathbf {M}} \subseteq {\mathbf {L}} \subseteq {\mathbf {K}}$ is a Jones’s tower of type ${\text {I}}{{\text {I}}_1}$ factors satisfying $[{\mathbf {M}}:{\mathbf {N}}] < \infty ,\;{\mathbf {N}}’ \cap {\mathbf {M}} = \mathbb {C}I,\;{\mathbf {N}}’ \cap {\mathbf {K}}$ a factor, then ${\mathbf {M}}’ \cap {\mathbf {K}}$ bears a natural Hopf ${\ast }$-algebra structure and there is an action of ${\mathbf {M}}’ \cap {\mathbf {K}}$ on ${\mathbf {L}}$ such that the resulting crossed product is isomorphic to ${\mathbf {K}}$.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 120 (1994), 519-528
- MSC: Primary 46L37; Secondary 16W30
- DOI: https://doi.org/10.1090/S0002-9939-1994-1186139-1
- MathSciNet review: 1186139