<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>C</mml:mi><mml:mi>P</mml:mi></mml:math> -violating observables in four-body <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi><mml:mo stretchy="false">→</mml:mo><mml:mi>ϕ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mo stretchy="false">→</mml:mo><mml:mi>K</mml:mi><mml:mover accent="true"><mml:mi>K</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover><mml:mo stretchy="…

We analyse the four-body $B\rightarrow \phi(\rightarrow K\bar K)K^*(\rightarrow K\pi)$ decays in perturbative QCD approach,where invariant mass of $K\bar K$($K\pi$) system is limited a window $\pm 15$ MeV ($\pm150$ MeV) around $\phi(K^*(892))$ mass.In addition to P wave resonances,two important S backgrounds selected region are also accounted for. Angular momentum conservation allows six helicity amplitudes contribute,including three waves, two single waves,and one double wave. calculated branching ratio for each component and found sizable contributions,coincide with experimental observation.The obtained ratios $B^{0(+)}\rightarrow \phi K^{*0(+)}$ comparable previous predictions support measurements, whereas predicted $\mathcal{B}(B^0_s\rightarrow \bar K^{*0})$ smaller than world average. The longitudinal polarizations be 0.7,consistent PQCD results but larger data. Aside from direct CP asymmetries,the true fake triple product asymmetries(TPAs) this work. In case neutral modes, both asymmetries TPAs expected zero due vanishing weak phase difference. $B^+$ mode tiny,since tree contributions suppressed respect penguin ones. have shown no significant deviations zero.In contrast,large observed these decays,indicating presence final state interactions.We give induced first time,which consistent LHCb data would checked future measurements Belle BABAR experiments if components can properly taken into account angular analysis.