most citedThe C*-envelope of the tensor algebra of a directed graph

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math.OA2004★ 1 cited

The C*-envelope of the tensor algebra of a directed graph

Elias Katsoulis, David Kribs

Given an arbitrary countable directed graph we prove the C*-envelope of the tensor algebra coincides with the universal Cuntz-Krieger algebra associated with . Our…

math.OA2003

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

Elias Katsoulis, David W. Kribs

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 vert…

math.OA2003★ 1 cited

Compact Operators and Nest Representations of Limit Algebras

Elias Katsoulis, Justin R. Peters

In this paper we study the nest representations of a strongly maximal TAF algebra, whose ranges contain non-zero compact operators. We introduce a particular class of such represen…