Unlike in many other Western countries, Canadian businesses generally only have one form of incorporation available. Unlimited liability corporations can be formed in Alberta "AULC", British Columbia "BCULC" and Nova Scotia "NSULC". The aforementioned unlimited liability corporations are generally not used as operating business structures, but are instead used to create favorable tax positions for either Americans investing in Canada or vice versa. For U.S. tax purposes the ULC is classified as a disregarded entity.
On the other hand, if you are not responsible for its tax, then you should declare the equipment in Part III of the Business Property Statement (Equipment belonging to others). Where equipment is declared in Part III of the Business Property Statement, the Assessor will also send a Notice to File to the person reported as the equipment's actual owner.