Note on the Properties of Type II_1 Sub Factors induced from Non-Degenerate Commuting Square

M. Khoshkam, B. Mashood

Abstract

In this article we prove that the graph of subfactors induce from non-degenerate commuting squares are ergodic. Further more we show that if these kind of subfactors a=has infinite graphs with the index less or than  5 an larger than 4 then the graph can only be the infinite A graph.