1. A computer system for facilitating processing of a multiprocessor computer system, the computer system comprising: a memory; and a processor in communications with the memory, wherein the computer system is capable of performing a method, the method comprising: setting, in association with invalidate page table entry processing, an existing storage key at a matching location in central storage of the multiprocessor computer system to a predefined value, wherein the predefined value comprises a first fetch component and a first access component; and subsequently executing a request to update the predefined value of the existing storage key to a new value, wherein the new value comprises a second fetch component and a second access component, the subsequently executing including determining whether the predefined value is an allowed stale value by comparing the predefined value to the new value, wherein at least one of: the first fetch component is not equal to the second fetch component, or the first access component is not equal to the second access component, and responsive to the comparing determining that the predefined value is the allowed stale value, replacing in central storage the predefined value of the existing storage key with the new value without requiring purging or updating of the predefined value in local storage keys in any local processor cache of the multiprocessor computer system, thereby minimizing interprocessor communication pursuant to processing of the request to update the predefined value of the existing storage key to a new value.