подать в суд(на – against: The volunteer fighters are also bringing a case against Ukraine at the court, accusing Kyiv of negligent planning of a military operation.4uzhoj)
подать иск(к – against: The volunteer fighters are also bringing a case against Ukraine at the court, accusing Kyiv of negligent planning of a military operation.4uzhoj)
возбудить уголовное дело(в отношении – against: The OFT [the Office of Fair Trading] has brought a criminal case against four British Airways executives (three no longer with the airline), accusing them of dishonestly conspiring with Branson's Virgin Atlantic to fix the price of fuel surcharges – by Alistair OsborneTamerlane)