Applications of the Wold decomposition to the study of row contractions associated with directed graphs

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Applications of the Wold Decomposition to the Study of Row Contractions Associated with Directed Graphs

Based on a Wold decomposition for families of partial isometries and projections of Cuntz-Krieger-Toeplitz-type, we extend several fundamental theorems from the case of single vertex graphs to the general case of countable directed graphs with no sinks. We prove a Szego-type factorization theorem for CKT families, which leads to information on the structure of the unit ball in free semigroupoid...

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 2005

ISSN: 0002-9947,1088-6850

DOI: 10.1090/s0002-9947-05-03692-5