Journal article
Tensor Algebras, Induced Representations, and the Wold Decomposition
Canadian journal of mathematics, Vol.51(4), pp.850-880
08/01/1999
DOI: 10.4153/CJM-1999-037-8
Abstract
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.
Details
- Title: Subtitle
- Tensor Algebras, Induced Representations, and the Wold Decomposition
- Creators
- Paul S Muhly - Department of Mathematics, University of Iowa, Iowa City, Iowa 52242, U.S.A. email: muhly@math.uiowa.eduBaruch Solel - Department of Mathematics, Technion, 32000 Haifa, Israel email: mabaruch@techunix.technion.ac.il
- Resource Type
- Journal article
- Publication Details
- Canadian journal of mathematics, Vol.51(4), pp.850-880
- DOI
- 10.4153/CJM-1999-037-8
- ISSN
- 0008-414X
- eISSN
- 1496-4279
- Publisher
- Cambridge University Press
- Number of pages
- 31
- Alternative title
- Tensor Algebras; P. S. Muhly and B. Solel
- Language
- English
- Date published
- 08/01/1999
- Academic Unit
- Statistics and Actuarial Science; Mathematics
- Record Identifier
- 9984083207402771
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