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

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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.
21 pages, to appear in the International Journal of Mathematics (v2: typos corrected, Section 5 extended and connections with the earlier work of Paul Muhly and Baruch Solel clarified)

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Operator Algebras, Functional Analysis, 47A45, 46L08

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http://salesiana.dossiersoluciones.com/handle/123456789/128537

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702649
 http://arxiv.org/abs/math/0702649

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arXiv