<i>X</i> -ROKHLIN PROPERTY FOR ACTIONS OF COUNTABLE DISCRETE GROUPS

Abstract We extend the definition of the X -Rokhlin property to countable discrete groups and prove some permanence properties. If the action of a countable discrete group on X is free and minimal and the action of this group on the separable simple $C^*$ -algebra has the X -Rokhlin property, then the reduced crossed product is simple.