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The Spectrum of the C*-Algebra of Pseudodifferential Boundary Value Problems on a Manifold with Smooth Edges

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Abstract

The C *-algebra \(\mathcal{A}\) generated by the operators of pseudodifferential boundary value problems on a manifold \(\mathcal{M}\) with smooth closed disjoint edges and boundary \(\Gamma \) is studied. The operators act in the space L 2(\(\mathcal{M}\))\( \oplus \) L 2(\(\Gamma \)). The goal of this paper is to describe all (up to an equivalence) irreducible representations of the algebra \(\mathcal{A}\) Bibliography: 12 titles.

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Authors
  1. O. V. Sarafanov
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Sarafanov, O.V. The Spectrum of the C*-Algebra of Pseudodifferential Boundary Value Problems on a Manifold with Smooth Edges. Journal of Mathematical Sciences 120, 1195–1239 (2004). https://doi.org/10.1023/B:JOTH.0000014847.67600.9d

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  • DOI: https://doi.org/10.1023/B:JOTH.0000014847.67600.9d

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