Operator-Valued Chordal Loewner Chains and Non-Commutative Probability

David A. Jekel

We adapt the theory of chordal Loewner chains to the operator-valued matricial upper-half plane over a $C^{\ast }$-algebra $\mathcal{A}$. We define an $\mathcal{A}$-valued chordal Loewne…