  We show that, if $M$ is a subspace lattice with the property that the rank
one subspace of its operator algebra is weak* dense, $L$ is a commutative
subspace lattice and $P$ is the lattice of all projections on a separable
infinite dimensional Hilbert space, then the lattice $L\otimes M\otimes P$ is
reflexive. If $M$ is moreover an atomic Boolean subspace lattice while $L$ is
any subspace lattice, we provide a concrete lattice theoretic description of
$L\otimes M$ in terms of projection valued functions defined on the set of
atoms of $M$. As a consequence, we show that the Lattice Tensor Product Formula
holds for $\Alg M$ and any other reflexive operator algebra and give several
further corollaries of these results.
