No Justice. No Peace.
They are intrinsically related.
Many religious institutions have peace initiatives. The ones that I have noticed that have been quite involved in actions have been (in no particular order): the Unitarian Church of Edmonton and the United Church of Canada.
John Humphrey Centre – is centred around human rights and peace/justice is a core value of the organisation.
Edmonton Coalition Against War and Racism (ECAWAR) – “We believe funding global human needs, rather than a “war on terror,” is the answer to political violence.” ECAWAR was formed in December of 2002 to oppose the impending invasion of Iraq.
Project Ploughshares – this group worked to build peace and preventing war for many decades.
Raging Grannies – what a group of elders that impressively sang their way in opposition to many wrongs in the world. “Edmonton Raging Grannies have protested and raised awareness on many different world and local issues including nuclear arms, the privatization of Medicare, sexually transmitted disease awareness, tuition rates at universities, and environmental issues. One of the most common protest methods used by the Grannies is singing protest songs, often with the lyrics written by members of the local group.” Provincial Archives

Kairos Canada – a collaboration of churches that have participated in peace and social justice actions in the past. They have a presence in Edmonton.
Unitarian Church of Edmonton – this church has been very involved in peace, social justice, LGBTQ2S+, and climate actions. If your activity aligns with their core values you might be able to partner with them and ask them to use their space for meetings and such.
Mahatma Gandhi Canadian Foundation for World Peace – “The Gandhi Foundation’s commitment to ahiṃsā (non-violence) goes as far back as 1988. Headquartered in the city of Edmonton, the work undertaken by the Foundation throughout the years has supported Canada’s fabric of multiculturalism and peace.”
Edmonton Interfaith Centre for Education and Action – “Our members are drawn from many faith communities and traditions, as well as people who have no formal religious affiliation.  Members agree with and commit to the objectives of the Edmonton Interfaith Centre.”

Palestinian Solidarity Network has now morphed into Canadians for Peace and Justice in the Middle East – an active local chapter of this group. Very good Twitter account.
Free Palestine Edmonton – Instagram account of a local group calling for the end of the apartheid practices of the Israeli state on the people of this area. #FreePalestine!
Canada Palestine Cultural Association – Local group spreading awareness about the Palestinian people and its culture.
Africa – I am unsure of any activity happening in Edmonton regarding the war happening in Yemen, the famine across the Horn of Africa, the continued pollution of the Ogoni Lands/Niger Delta in Nigeria by Shell and other oil companies, the East African Crude Oil Pipeline Project (EACOP), the pressure by large GMO biotech companies to get their patented seeds grown on more farms across the continent, etc. Let me know if you know of any groups working on any of these issues in Edmonton.
Perhaps Minister Faust or Ahmed Ali would be good accounts to follow for African activism.

World Beyond War – is a global movement to end all wars. They are active in Canada and recently have been quite effective in getting actions happening regarding the Israel/Hamas conflict.

Stop the War Coalition – is an UK based group but has far reaching impact across the globe.