A plurality of processing entities of a processor complex is maintained, wherein each processing entity has a local cache and the processor complex has a shared cache and a shared memory. One of the plurality of processing entities is allocated for execution of a critical task. In response to the allocating of one of the plurality of processing entities for the execution of the critical task, other processing entities of the plurality of processing entities are folded. The critical task utilizes the local cache of the other processing entities that are folded, the shared memory, and the shared cache, in addition to the local cache of the processing entity allocated for the execution of the critical task.