PARIS—Three Kurdish women, including a founding member of the militant Kurdistan Workers Party were shot dead in Paris in execution-style killings that could be aimed at derailing peace talks to end a three-decade war with the Turkish government.

French police said on Thursday that the killings, which took place on Wednesday afternoon in a Kurdish community center in central Paris, appeared to be targeted assassinations. The antiterrorist department of the Paris prosecutor's office said it had launched an investigation....