Geodesic
The spectrum of an algebra of pseudodifferential operators with piecewise smooth symbols
Izvestiya. Mathematics , Tome 34 (1990) no. 1, pp. 147-179

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The authors study the spectrum of a $C^*$-algebra of pseudodifferential operators whose symbols have discontinuities along submanifolds (the supports of the discontinuities) intersecting at nonzero angles. All (up to equivalence) irreducible representations of such algebras are enumerated, a realization of these representations is indicated, and the spectral topology is described. Bibliography: 7 titles. 
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     author = {B. A. Plamenevskii and V. N. Senichkin},
     title = {The spectrum of an algebra of pseudodifferential operators with piecewise smooth symbols},
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B. A. Plamenevskii; V. N. Senichkin. The spectrum of an algebra of pseudodifferential operators with piecewise smooth symbols. Izvestiya. Mathematics , Tome 34 (1990) no. 1, pp. 147-179. http://geodesic.mathdoc.fr/item/IM2_1990_34_1_a6/