Bivariant K-theory of generalized Weyl algebras

Julio Gutiérrez; Christian Valqui

doi:10.4171/JNCG/375

Bivariant K-theory of generalized Weyl algebras

Julio Gutiérrez
, Christian Valqui

Sección de Matemáticas

Instituto de Matemática y Ciencias Afines

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

1 Cita (Scopus)

Resumen

We compute the isomorphism class in KK^alg 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 KK^alg of the quantum Weyl algebra, the primitive factors Bλ of U.sl₂/ and the quantum weighted projective lines O.W P_q.k; l//.

Idioma original	Inglés
Páginas (desde-hasta)	639-666
Número de páginas	28
Publicación	Journal of Noncommutative Geometry
Volumen	14
N.º	2
DOI	https://doi.org/10.4171/JNCG/375
Estado	Publicada - 2020

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title = "Bivariant K-theory of generalized Weyl algebras",

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//.",

keywords = "Generalized Weyl algebras, K-theory, Kk-theory, Smooth generalized crossed products",

author = "Julio Guti{\'e}rrez and Christian Valqui",

note = "Publisher Copyright: {\textcopyright} European Mathematical Society",

year = "2020",

doi = "10.4171/JNCG/375",

language = "English",

volume = "14",

pages = "639--666",

journal = "Journal of Noncommutative Geometry",

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T1 - Bivariant K-theory of generalized Weyl algebras

AU - Gutiérrez, Julio

AU - Valqui, Christian

N1 - Publisher Copyright: © European Mathematical Society

PY - 2020

Y1 - 2020

N2 - 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//.

AB - 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//.

KW - Generalized Weyl algebras

KW - K-theory

KW - Kk-theory

KW - Smooth generalized crossed products

UR - https://www.scopus.com/pages/publications/85091630103

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DO - 10.4171/JNCG/375

M3 - Article

AN - SCOPUS:85091630103

SN - 1661-6952

VL - 14

SP - 639

EP - 666

JO - Journal of Noncommutative Geometry

JF - Journal of Noncommutative Geometry

IS - 2

ER -

Bivariant K-theory of generalized Weyl algebras

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