Communism is by definition a kind of anarchy, so there's therefore no such a thing as a communist government or a communist dictatorship:
"a society without class divisions or government, in which the production and distribution of goods would be based upon the principle “From each according to his ability, to each according to his needs.”"
It simply happens that a lot of politicians, dictators and governments love to pretend to be things they aren't. The National Socialist Party of Germany wasn't socialist either.
Anyway, considering the state of the Canadian infrastructure, we should wasting money on monuments. Commemorative plaques can do the job.