  Generalizing a result of Furstenberg, we show that for every infinite
discrete group $G$, the Bernoulli flow $2^G$ is disjoint from every minimal
$G$-flow. From this, we deduce that the algebra generated by the minimal
functions $\mathfrak{A}(G)$ is a proper subalgebra of $\ell^\infty(G)$ and that
the enveloping semigroup of the universal minimal flow $M(G)$ is a proper
quotient of the universal enveloping semigroup $\beta G$. When $G$ is
countable, we also prove that for any metrizable, minimal $G$-flow, there
exists a free, minimal flow disjoint from it and that there exist continuum
many mutually disjoint minimal, free, metrizable $G$-flows. Finally, improving
a result of Frisch, Tamuz, and Vahidi Ferdowsi and answering a question of
theirs, we show that if $G$ is a countable icc group, then it admits a free,
minimal, proximal flow.
