  We consider different large ${\cal N}$ limits of the one-dimensional
Chern-Simons action $i\int dt~ \Tr (\del_0 +A_0)$ where $A_0$ is an ${\cal
N}\times{\cal N}$ antihermitian matrix. The Hilbert space on which $A_0$ acts
as a linear transformation is taken as the quantization of a $2k$-dimensional
phase space ${\cal M}$ with different gauge field backgrounds. For slowly
varying fields, the large ${\cal N}$ limit of the one-dimensional CS action is
equal to the $(2k+1)$-dimensional CS theory on ${\cal M}\times {\bf R}$.
Different large ${\cal N}$ limits are parametrized by the gauge fields and the
dimension $2k$. The result is related to the bulk action for quantum Hall
droplets in higher dimensions. Since the isometries of ${\cal M}$ are gauged,
this has implications for gravity on fuzzy spaces. This is also briefly
discussed.
