1) According to popular belief 2) Acknowledged 3) Adjective before mobster 4) Believed to be 5) Generally accepted 6) Generally believed 7) Generally considered 8) Generally regarded 9) Ostensible 10) Popularly supposed 11) Purported 12) Putative 13) Regarded as 14) Said to be 15) Seeming 16) Supposed 1) Acknowledged 2) Pretended 3) Purported 4) Putative 5) Supposed 
adj. referring to what is accepted by general public belief, whether or not correct.
• (imp. & p. p.) of Repute
(Adj) the word 'Reputed' is used to represent the general acceptance of a person or entity created in public mind by their historical stands and actions
Information based on public belief, whether or not correct.
reputed 1. A reference to what is accepted by general public belief, whether or not it is correct. 2. Something which is widely believed, although it is not necessarily established as fact.