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Wold decomposition for isometric representations of product systems of C*-correspondences.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

<mark>Journal publication date</mark>8/05/2007
<mark>Journal</mark>International Journal of Mathematics
Publication StatusPublished
<mark>Original language</mark>English


Higher-rank versions of Wold decomposition are shown to hold for doubly commuting isometric representations of product systems of C*-correspondences over N^k, generalising the classical result for a doubly commuting pair of isometries due to M.Slocinski. Certain decompositions are also obtained for the general, not necessarily doubly commuting, case and several corollaries and examples are provided. Possibilities of extending isometric representations to fully coisometric ones are discussed.

Bibliographic note

Posted on the arXiv: 8th May 2007. To appear in the International Journal of Mathematics: April 2008; accepted in final form: 6th May 2007. RAE_import_type : Internet publication RAE_uoa_type : Pure Mathematics