Geodesic
Tensor Algebras, Induced Representations, and the Wold Decomposition
Canadian journal of mathematics, Tome 51 (1999) no. 4, pp. 850-880

Voir la notice de l'article provenant de la source Cambridge University Press

Our objective in this sequel to $[18]$ is to develop extensions, to representations of tensor algebras over ${{C}^{*}}$ -correspondences, of two fundamental facts about isometries on Hilbert space: The Wold decomposition theorem and Beurling’s theorem, and to apply these to the analysis of the invariant subspace structure of certain subalgebras of Cuntz-Krieger algebras.
DOI : 10.4153/CJM-1999-037-8
Mots-clés : 46L05, 46L40, 46L89, 47D15, 47D25, 46M10, 46M99, 47A20, 47A45, 47B35, Tensor Algebras, Correspondence, Induced Representation, Wold Decomposition, Beurling’s theorem 
Muhly, Paul S.; Solel, Baruch. Tensor Algebras, Induced Representations, and the Wold Decomposition. Canadian journal of mathematics, Tome 51 (1999) no. 4, pp. 850-880. doi: 10.4153/CJM-1999-037-8
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