Abstract.
We study a C*-algebra generated by differential operators on a tree. We give a complete description of its quotient with respect to the compact operators. This allows us to compute the essential spectrum of self-adjoint operators affiliated to this algebra. The results cover Schrödinger operators with highly anisotropic, possibly unbounded potentials.
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Communicated by Jean Bellissard
submitted 18/12/03, accepted 29/04/04
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Golénia, S. C*-Algebras of Anisotropic Schrödinger Operators on Trees. Ann. Henri Poincaré 5, 1097–1115 (2004). https://doi.org/10.1007/s00023-004-0192-6
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DOI: https://doi.org/10.1007/s00023-004-0192-6