The -algebras of row-finite graphs.
Bates, Teresa, Pask, David, Raeburn, Iain, Szymański, Wojciech (2000)
The New York Journal of Mathematics [electronic only]
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Bates, Teresa, Pask, David, Raeburn, Iain, Szymański, Wojciech (2000)
The New York Journal of Mathematics [electronic only]
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Matsumoto, Kengo (2002)
Documenta Mathematica
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Johnson, Matthew (2005)
The New York Journal of Mathematics [electronic only]
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Gwion Evans, D. (2008)
The New York Journal of Mathematics [electronic only]
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Eilers, Søren, Restor, Gunnar, Ruiz, Efren (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Karla Čipková (2006)
Czechoslovak Mathematical Journal
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Let and be graph algebras. In this paper we present the notion of an ideal in a graph algebra and prove that an ideal extension of by always exists. We describe (up to isomorphism) all such extensions.
Kumjian, Alex, Pask, David (2000)
The New York Journal of Mathematics [electronic only]
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Lewin, Peter, Pask, David (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Junping Liu, Changguo Wei (2014)
Czechoslovak Mathematical Journal
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In this paper, we consider the classification of unital extensions of -algebras by their six-term exact sequences in -theory. Using the classification theory of -algebras and the universal coefficient theorem for unital extensions, we give a complete characterization of isomorphisms between unital extensions of -algebras by stable Cuntz algebras. Moreover, we also prove a classification theorem for certain unital extensions of -algebras by stable purely infinite simple -algebras...