The present disclosure relates to a method for a computer system comprising a plurality of processor cores, including a first processor core and a second processor core, wherein a cached data item is assigned to a first processor core, of the plurality of processor cores, for exclusively executing an atomic primitive. The method includes receiving, from a second processor core at a cache controller, a request for accessing the data item, and in response to determining that the execution of the atomic primitive is not completed by the first processor core, returning a rejection message to the second processor core.