Journal article
Tensor Algebras overC-Correspondences: Representations, Dilations, andC-Envelopes
Journal of functional analysis, Vol.158(2), pp.389-457
10/01/1998
DOI: 10.1006/jfan.1998.3294
Abstract
Tensor algebras overC*-correspondences are noncommutative generalizations of the disk algebra. They contain, as special cases, analytic crossed products, semi-crossed products, and Popescu's noncommutative disk algebras. In this paper, a dilation theorem and a commutant lifting theorem for representations of tensor algebras is proved. These are used to show that for certainC*-correspondences, theC*-envelopes (in the sense of Arveson) of the tensor algebras are the Cuntz–Pimsner algebras of the correspondences.
Details
- Title: Subtitle
- Tensor Algebras overC-Correspondences: Representations, Dilations, andC-Envelopes
- Creators
- Paul S Muhly - Department of Mathematics, University of Iowa, Iowa City, Iowa, 52242, f1E-mail: muhly@math.uiowa.eduf1Baruch Solel - Department of Mathematics, Technion, 32000, Haifa, Israelf2E-mail: mabaruch@techunix.technion.ac.ilf2
- Resource Type
- Journal article
- Publication Details
- Journal of functional analysis, Vol.158(2), pp.389-457
- DOI
- 10.1006/jfan.1998.3294
- ISSN
- 0022-1236
- eISSN
- 1096-0783
- Publisher
- Elsevier Inc
- Language
- English
- Date published
- 10/01/1998
- Academic Unit
- Statistics and Actuarial Science; Mathematics
- Record Identifier
- 9984083259002771
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