Boston regulators have approved construction of the city’s first condominium complex with no parking for residents’ cars, a project expected to be a test case.

The Boston Redevelopment Authority approved the 15-story, 175-unit building at Lovejoy Wharf in the West End, where a new headquarters for athletic shoe company Converse Inc. is under construction. The authority voted Thursday to change previously approved plans, eliminating a 315-space parking garage.