Some multidimensional Cuntz algebras

• Autores: Manfred Burgstaller
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 76, Nº. 1-2, 2008, págs. 19-32
• Idioma: inglés
• DOI: 10.1007/s00010-007-2924-4
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• Resumen

  • Following closely the article of J. Cuntz where the Cuntz algebra was initiated in 1977, we introduce a certain class of multidimensional Cuntz algebras generated by several sets of isometries (instead of one set in the classical case) which interact in some quasi-abelian way. Then we compute the K-theory for some of these algebras.