APS
Speaker: Sourav Khatua, IIT Bombay
Host: Sutanu Roy
Title: On path spaces of quantum graphs
Time, day and date: 4:15:00 PM – 5:15:00 PM, Friday, February 20
Venue: Ramanujan Hall
Abstract: Let (B,\psi_B, A) be a quantum graph, where B is a finite-dimensional C*-algebra equipped with a faithful state \psi_B and A is a quantum adjacency matrix. Using the notion of quantum edge correspondences, we construct path spaces of arbitrary length as C*-correspondences over B. We show that these path spaces form a sub-product system over the center Z(B). Furthermore, we prove that when two quantum graphs are classically isomorphic, then there is a correspondence isomorphism between the respective sub-product systems.