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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…
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…
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…
Meet Irreducible Ideals and Representations of Limit Algebras
Kenneth R. Davidson, Elias Katsoulis, Justin Peters
In this paper we give a criterion for an ideal of a TAF algebra to be meet irreducible. We show that an ideal of is meet irreducile if and only if the C-envelope of the…
Algebraic Isomorphism of Limit Algebras
Allan P. Donsig, Tim D. Hudson, Elias G. Katsoulis
We prove that algebraic isomorphisms between limit algebras are automatically continuous, and consider consequences of this result. In particular, we give partial solutions to a co…