  We consider the system of $N$ ($\ge2$) hard balls with masses $m_1,...,m_N$
and radius $r$ in the flat torus $\Bbb T_L^\nu=\Bbb R^\nu/L\cdot\Bbb Z^\nu$ of
size $L$, $\nu\ge3$. We prove the ergodicity (actually, the Bernoulli mixing
property) of such systems for almost every selection $(m_1,...,m_N; L)$ of the
outer geometric parameters. This theorem complements my earlier result that
proved the same, almost sure ergodicity for the case $\nu=2$. The method of
that proof was primarily dynamical-geometric, whereas the present approach is
inherently algebraic.
