Lattices of logmodular algebras

B. V. Rajarama Bhat, Manish Kumar

A subalgebra $\mathcal{A}$ of a $C^{\ast }$-algebra $\mathcal{M}$ is logmodular (resp. has factorization) if the set $\{a^{\ast }a;a\text{ is invertible with }a,a^{-1}\in \mathcal{A}\}$ is den…