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The K-theoretical range of Cuntz–Krieger algebras

✍ Scribed by Arklint, Sara E.; Bentmann, Rasmus; Katsura, Takeshi


Book ID
122271361
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
343 KB
Volume
266
Category
Article
ISSN
0022-1236

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Classification of Cuntz-Krieger algebras
✍ Restorff, Gunnar 📂 Article 📅 2006 🏛 Walter de Gruyter GmbH & Co. KG 🌐 English ⚖ 272 KB

In this paper we classify all Cuntz-Krieger algebras whose adjacency matrices satisfy condition (II) of Cuntz. The invariant arises naturally from the ideal lattice and the six-term exact sequences from K-theory, while the proof of this invariant being complete depends on recent results on flow equi