Publication:
Bivariant K-theory of generalized Weyl algebras
Bivariant K-theory of generalized Weyl algebras
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Date
2020
Authors
Gutiérrez J.
Valqui C.
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Publisher
European Mathematical Society Publishing House
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Abstract
We compute the isomorphism class in KKalg of all noncommutative generalized Weyl algebras A D C[h].σ; P /, where σ.h/ D qh C h0 is an automorphism of C[h], except when q ¤ 1 is a root of unity. In particular, we compute the isomorphism class in KKalg of the quantum Weyl algebra, the primitive factors Bλ of U.sl2/ and the quantum weighted projective lines O.W Pq.k; l//. © European Mathematical Society
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Keywords
Smooth generalized crossed products,
Generalized Weyl algebras,
K-theory,
Kk-theory