Geodesic
Spectra of pseudodifferential operators over $C^*$-algebras
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1982), pp. 36-38

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It is shown that the spectrum of an elliptic pseudo-differential operator over a $C^*$-algebra $A$ does not depend on the choice of the isometric representation for $A$ in the Hilbert space. 
@article{VMUMM_1982_4_a8,
     author = {R. A. Biktashev},
     title = {Spectra of pseudodifferential operators over $C^*$-algebras},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {36--38},
     publisher = {mathdoc},
     number = {4},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_4_a8/}
}
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R. A. Biktashev. Spectra of pseudodifferential operators over $C^*$-algebras. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1982), pp. 36-38. http://geodesic.mathdoc.fr/item/VMUMM_1982_4_a8/