[en] We investigate the phase structure of pure SU(2) LGT at finite temperature in the mixed fundamental and adjoint representation modified with a Z₂ monopole chemical potential. The decoupling of the finite temperature phase transition from unphysical zero temperature bulk phase transitions is analyzed with special emphasis on the continuum limit. The possible relation of the adjoint Polyakov loop to an order parameter for the finite temperature phase transition and to the topological structure of the theory is discussed