FINITE INDEX SUBFACTORS AND HOPF ALGEBRA CROSSED-PRODUCTS

Authors
SZYMANSKI W
Citation
W. Szymanski, FINITE INDEX SUBFACTORS AND HOPF ALGEBRA CROSSED-PRODUCTS, Proceedings of the American Mathematical Society, 120(2), 1994, pp. 519-528
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
120
Issue
2
Year of publication
1994
Pages
519 - 528
Database
ISI
SICI code
0002-9939(1994)120:2<519:FISAHA>2.0.ZU;2-F
Abstract
We show that if N subset-or-equal-to M subset-or-equal-to L subset-or- equal-to K is a Jones's tower of type II1 factors satisfying [M: N] < infinity, N' and M = CI, N' and K a factor, then M' and K bears a natu ral Hopf -algebra structure and there is an action of M' and K on L s uch that the resulting crossed product is isomorphic to K.