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A C*-algebra associated with dynamics on a graph of strings

机译：A C*-algebra associated with dynamics on a graph of strings

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An operator C*-algebra E associated with a dynamical system on a metric graph is introduced. The system is governed by the wave equation and controlled from boundary vertices. Algebra E is generated by eikonals, which are self-adjoint operators related with reachable sets of the system. Its structure is studied. Algebra E is determined by the boundary inverse data. This shows promise of its possible applications to inverse problems

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