C*-algebra of eikonals of a metric graph

M. I. Belishev's talk (October 2021) described a general scheme for the application of algebras to solving inverse problems in mathematical physics. The current talk presents a description of a noncommutative C*-algebra associated with a dynamical system that describes wave propagation on a metric graph. The main results are finding a spectrum of such an algebra for an arbitrary graph, introducing relevant coordinates on it, and also the realization of such an algebra as a direct sum of the so-called standard algebras and, under some additional conditions, as an algebra of semicontinuous sections of the C*-algebra bundle with a base having geometric sense (it is a quotient of the original graph).
This is a joint work with M. I. Belishev.