  We call a real algebraic hypersurface in $(\mathbb{C}^*)^n$ simplicial if it
is given by a real Laurent polynomial in $n$-variables that has exactly $n+1$
monomials with non-zero coefficients and such that the convex hull in
$\mathbb{R}^n$ of the $n+1$ points of $\mathbb{Z} ^n$ corresponding to the
exponents is a non-degenerate $n$-dimensional simplex. Such hypersurfaces are
natural building blocks from which more complicated objects can be constructed,
for example using O. Viro's Patchworking method. Drawing inspiration from
related work by G. Kerr and I. Zharkov, we describe the action of the complex
conjugation on the homology of the coamoebas of simplicial real algebraic
hypersurfaces, hoping it might prove useful in a variety of problems related to
topology of real algebraic varieties. In particular, assuming a reasonable
conjecture, we identify the conditions under which such a hypersurface is
Galois maximal.
