\documentclass{article}
\usepackage{amsmath}
\begin{document}
\begin{equation*}
\begin{split}
a & = b \\
& = c
\end{split}
\end{equation*}
\hshow{---------------------------------------------------------------}
$$
\begin{split}
a & = b \\
& = c
\end{split}
%\def\foo{\math@cr \black@ \totwidth@ \egroup
% \egroup}
%\hshow{endmathdisplay@a}
% \foo
$$
\hshow{---------------------------------------------------------------}
\[
\begin{split}
a & = b \\
& = c
\end{split}
\]
\hshow{---------------------------------------------------------------}
\begin{displaymath}
\begin{split}
a & = b \\
& = c
\end{split}
\end{displaymath}
\end{document}