allegedly

Concise Oxford English Dictionary © 2008 Oxford University Press:
allege /əˈlɛdʒ/

▶verb claim that someone has done something wrong, typically without proof.

– derivatives
alleged adjective,
allegedly adverb.

– origin ME (in the sense ‘declare on oath’): from OFr. esligier, based on L. lis, lit- ‘lawsuit’; confused in sense with L. allegare ‘allege’.