Covariant representations of subproduct systems: Invariant subspaces and curvature

Jaydeb Sarkar, Harsh Trivedi, Shankar Veerabathiran

Let $X=(X(n){)}_{n\in {\mathbb{Z}}_{+}}$ be a standard subproduct system of $C^{\ast }$-correspondences over a $C^{\ast }$-algebra $\mathcal{M}.$ Assume $T=(T_n{)}_{n\in {\mathbb{Z}}_{+}}$ to be a pure c…