A natural algebraic generalization of VFR Jones' theory of subfactors is defined and studied.
Noncommutative finite separable extensions of K-algebras are defined from the algebraic …

We extend the Longo–Rehren construction to an infinite system of bimodules (of sectors).
The construction is similar to the crossed product. We also show that the Longo–Rehren …

The problems and results that relate directly combinatorial aspects with analytical ones
appear to play a central place in the theory of subfactors of finite Jones index. Along these …

We bring together ideas in analysis on Hopf*-algebra actions on II1 subfactors of finite Jones
index [9, 24] and algebraic characterizations of Frobenius, Galois and cleft Hopf extensions …

First, we construct the Jones tower and tunnel of the central sequence subfactor arising from
a hyperfinite type II 1 subfactor with finite index and finite depth, and prove each algebra has …

A Duality for Hopf Algebras and for Subfactors. I Page 1 Commun. Math. Phys. 159, 133-150
(1994) Communications ΪΠ Mathematical Physics © Springer-Verlag 1994 A Duality for Hopf …

Since the appearance of V. Jones' epoch-making paper on index theory of subfactors,
various methods have been developped in construction of subfactors of finite index. The …

The theory of Kac algebras (Hopf algebras) has been drawing considerable attention (see
[6] for the reference), and in fact many intensive studies have been made recently.([1, 18, 19 …

≥ ú(x) for Page 1 Canad. Math. Bull. Vol. 40 (2), 1997 pp. 254–256 SUBDIAGONAL
ALGEBRAS FOR SUBFACTORS II (FINITE DIMENSIONAL CASE) KICHI-SUKE SAITO AND …

Let NCM be an inclusion of type 111 yon Neumann factors with finite Jones index. Let
NcMcMIC... be the associated tower of factors that one gets by iterating the Jones basic …