20 citations · 45 across the 10 of their papers we have counts for
10 papers
New hyperfinite subfactors with infinite depth
Dietmar Bisch, Julio Cáceres
We construct new hyperfinite subfactors with Temperley-Lieb-Jones (TLJ) standard invariant and Jones indices between and . Our subfactors occur at all indices bet…
Graph planar algebra embeddings and infinite depth subfactors
Dietmar Bisch, Julio Cáceres
Subfactors of the hyperfinite II factor with ''exotic'' properties can be constructed from nondegenerate commuting squares of multi-matrix algebras. We show that the subfactor…
Tube algebra of group-type subfactors
Dietmar Bisch, Paramita Das, Shamindra Kumar Ghosh +1
We describe the tube algebra and its representations in the cases of diagonal and Bisch-Haagerup subfactors possibly with a scalar 3-cocycle obstruction. We show that these categor…
Singly generated planar algebras of small dimension, Part III
Dietmar Bisch, Vaughan F. R. Jones, Zhengwei Liu
The first two authors classified subfactor planar algebra generated by a non-trivial 2-box subject to the condition that the dimension of 3-boxes is at most 12 in Part I; 13 in Par…
The planar algebra of diagonal subfactors
Dietmar Bisch, Paramita Das, Shamindra Kumar Ghosh
There is a natural construction which associates to a finitely generated, countable, discrete group and a 3-cocycle of an inclusion of II factors, the so-called dia…
The planar algebra of group-type subfactors
Dietmar Bisch, Paramita Das, Shamindra Kumar Ghosh
If is a countable, discrete group generated by two finite subgroups and and is a II factor with an outer G-action, one can construct the group-type subfactor $P…