Singular MASAs in type III factors and Connes' Bicentralizer Property

Cyril Houdayer, Sorin Popa

We show that any type $\mathrm{II}{\mathrm{I}}_1$ factor with separable predual satisfying Connes' Bicentralizer Property (CBP) has a singular maximal abelian $\ast$-subalgebra that is the range…