Geodesic
Extensions of $C^*$-algebras by partial isometries
Sbornik. Mathematics, Tome 195 (2004) no. 7, pp. 951-982 Cet article a éte moissonné depuis la source Math-Net.Ru

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The structure of the $C^*$-algebra generated by a $*$-algebra $\mathscr A$ and a partial isometry inducing an endomorphism of $\mathscr A$ is investigated. 
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A. V. Lebedev; A. Odzijewicz. Extensions of $C^*$-algebras by partial isometries. Sbornik. Mathematics, Tome 195 (2004) no. 7, pp. 951-982. http://geodesic.mathdoc.fr/item/SM_2004_195_7_a2/

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