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Tensor Algebras, Induced Representations, and the Wold Decomposition

Published online by Cambridge University Press:  20 November 2018

Paul S. Muhly
Affiliation:
Department of Mathematics, University of Iowa, Iowa City, Iowa 52242, U.S.A. email: [email protected]
Baruch Solel
Affiliation:
Department of Mathematics, Technion, 32000 Haifa, Israel email: [email protected]
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Abstract

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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.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1999

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