arXiv math/05093432005-09-15math.OA

A class of $C^$-algebras generalizing both graph algebras and homeomorphism $C^$-algebras IV, pure infiniteness

Takeshi Katsura

备注：: 28 pages

英文摘要：

This is the final one in the series of papers where we introduce and study the $C^*$-algebras associated with topological graphs. In this paper, we get a sufficient condition on topological graphs so that the associated $C^*$-algebras are simple and purely infinite. Using this result, we give one method to construct all Kirchberg algebras as $C^*$-algebras associated with topological graphs.

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英文摘要：

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A class of C^*-algebras generalizing both graph algebras and homeomorphism C^*-algebras I, fundamental results

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