Bivariant K-theory of generalized Weyl algebras

  • Julio Gutiérrez

    Instituto de Matemática y Ciencias Afines (IMCA), Lima, Peru
  • Christian Valqui

    Pontificia Universidad Católica del Peru (PUCP), Lima, Peru
Bivariant K-theory of generalized Weyl algebras cover

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Abstract

We compute the isomorphism class in of all noncommutative generalized Weyl algebras ,where is an automorphism of , except when is a root of unity. In particular, we compute the isomorphism class in of the quantum Weyl algebra, the primitive factors of and the quantum weighted projective lines .

Cite this article

Julio Gutiérrez, Christian Valqui, Bivariant K-theory of generalized Weyl algebras. J. Noncommut. Geom. 14 (2020), no. 2, pp. 639–666

DOI 10.4171/JNCG/375