Yes you can. Forming and registering a corporation in Canada requires a registered head office in Canada. Also, most Canadian provinces require that the corporate directors be residents of Canada. However there are a few provinces such as British Columbia (BC), which allow non-residents of Canada to be directors of Canadian corporations.
If a Canadian corporation is not Canadian controlled (51% ownership outside of Canada), then the corporation is classified as a non-Canadian-Controlled-Private-Corporation and is taxed at approximately 30% (combined federal and provincial tax rate).
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