Members of France's Kurdish community and others held a silent march Monday to honour three people killed in a shooting at a Kurdish cultural centre in Paris that prosecutors say was motivated by racism.

Turkey summoned France's ambassador Monday over what it called “black propaganda” by Kurdish activists after the shooting.?

Some have marched in Paris with flags of the banned Kurdistan Workers' Party (PKK), or suggested that Turkey was linked to the shooting.

A 69-year-old Frenchman is facing preliminary murder charges over Friday's shooting, the Paris prosecutor said.?

The suspect told investigators that he had aimed to kill migrants or foreigners and then had planned to kill himself, and said he had a “pathological” hatred of non-European foreigners, according to prosecutors.

He was briefly put in psychiatric care, but then released back to ordinary police custody, and appeared Monday before an investigating judge.?

The suspect's name hasn't been officially released though he is identified by French media as William K.

The shooting shocked and infuriated the Kurdish community in France, which organised the silent march on Monday. Demonstrators marched from the site of Friday's shooting to the location where three women Kurdish activists were found shot dead in 2013.

“Every day we ask ourselves when someone will shoot at us again. Ten years ago we were attacked in the heart of Paris and 10 years later again," said Dagan Dogan, a 22-year-old Kurd at Monday's march. “Why there was nothing done to protect us?”

The solemn march ended calmly. Skirmishes broke out in the neighborhood where the killings took place on Friday, and again on the sidelines of a mostly peaceful Kurdish-led demonstration on Saturday.

Prosecutors say the suspect had a clear racist motive for the shooting.

Anti-racism activists and left-wing politicians have linked it to a climate of hate speech online and anti-immigrant, xenophobic rhetoric by far-right figures. The French government has reported a rise in race- or religion-related crimes and violations in recent years.

French authorities have called Friday's attack an isolated incident, but some Kurdish activists in Paris think it was politically driven.

Turkey summoned French Ambassador Herve Magro on Monday to relay unease over what it called black propaganda being waged against Turkey by Kurdish militant groups following the attack, the Turkish state-run Anadolu Agency reported.

Turkey “expects France to act prudently over the incident and not to allow the (banned PKK) terrorist organisation to advance its sneaky agenda,” Anadolu reported.

The PKK has waged an armed separatist insurgency against the Turkish state since 1984 for independence, which has more recently morphed into demands for greater autonomy.?

The conflict has killed tens of thousands of people and displaced many, with a significant number of ethnic Kurds and alleged PKK supporters migrating to European countries.

Turkey's army has battled Kurdish militants affiliated with the PKK in southeast Turkey as well as in northern Iraq, and recently launched a series of strikes against Syrian Kurdish militant targets in northern Syria.

Turkey, the United States and the European Union consider the PKK a terror group, but Turkey accuses some European countries of leniency toward alleged PKK members. That frustration has been the main reason behind Turkey's continued delay of NATO membership for Sweden and Finland.?