On the uniqueness of AF diagonals in regular limit algebras
Necessary and sufficient conditions are obtained for the uniqueness of standard regular AF masas in regular limit algebras up to approximate inner unitary equivalence.
math.OA↗
arXiv subjects
P. A. Haworth
Publications and source records attributed to P. A. Haworth.
Local characterisation of approximately finite operator algebras
We show that the family of nest algebras with $r$ non-zero nest projections is stable, in the sense that an approximate containment of one such algebra within another is close to an exact containment. We use this result to give a local characterisation of limits formed from this family. We then consider quite general regular limit algebras and characterise these algebras using a local condition which reflects the assumed regularity of the system.
math.OA↗