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Tensor Algebras, Induced Representations, and the Wold Decomposition
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- Journal:
- Canadian Journal of Mathematics / Volume 51 / Issue 4 / 01 August 1999
- Published online by Cambridge University Press:
- 20 November 2018, pp. 850-880
- Print publication:
- 01 August 1999
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- Article
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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.
