  We have studied the one-dimensional $p$-wave periodic Anderson model at
finite temperature with the help of the numerically exact determinant quantum
Monte Carlo simulation. It is found that the topological Haldane phase
established for ground-state is still stable against small thermal fluctuation
and its characteristic edge magnetization develops at low temperature.
Moreover, the saturated low-$T$ spin structure factor and the $\frac{1}{T}$-law
of susceptibility are useful to detect the free edge spin moment, which may be
relevant for experimental explorations. We have also comparatively studied the
conventional $s$-wave periodic Anderson model, which helps us identify an
emergent energy scale $T_{cr}$. $T_{cr}$ signals a crossover into interesting
low-$T$ regime and seems to be the expected Ruderman-Kittel-Kasuya-Yosida
(RKKY) coupling. Finally, the collective Kondo screening effect has been
examined and it is heavily reduced at boundary, which may give a fruitful
playground for novel physics beyond the well-established Haldane state and
topological band insulators.
