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