allegedly

/əˈlɛdʒədli/

adverb

Used to convey that something is claimed to be the case or have taken place, although there is no proof.

he was allegedly a leading participant in the coup attempt

reportedly,supposedly,reputedly,purportedly,ostensibly,apparently,by all accounts,so the story goes,putatively,presumedly,presumably,assumedly,declaredly,avowedly