State Senate Republicans called Monday for New York Gov. Eliot Spitzer to designate state Attorney General Andrew Cuomo as special prosecutor to investigate Spitzer’s own office over the misuse of the state police to track one of the governor’s political rivals.

If designated special prosecutor, Cuomo would have full subpoena power to compel testimony under oath from Spitzer’s top aides and the governor himself, said Sen. George Winner, an Elmira, N.Y., Republican who is chairman of the Senate Committee on Investigations. Cuomo’s office could not compel testimony from several top Spitzer aides when compiling its report on the conduct of Spitzer’s office released July 23.