A data processing apparatus and method has a plurality of processing units, at least one of which is configured to be switchable between an active power state and a dormant power state and the units share a memory, and at least one local storage unit is configured to store a local copy of a data item stored in the memory for access by an associated processing unit. A snoop control unit is monitors memory access requests and when one is issued, if the control unit has an indication that a local storage unit belonging to another dormant processing unit has a local copy of that data storage item and a cache coherency protocol required that the local copy of the requested data item associated with the other processing unit be invalidated, the control unit stores a marker indicating that that other local copy should later be invalidated.