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- W2951185137 abstract "Strongly $mathbb{Z}$-graded algebras or principal circle bundles and associated line bundles or invertible bimodules over a class of generalized Weyl algebras $mathcal{B}(p;q, 0)$ (over a ring of polynomials in one variable) are constructed. The Chern-Connes pairing between the cyclic cohomology of $mathcal{B}(p;q, 0)$ and the isomorphism classes of sections of associated line bundles over $mathcal{B}(p;q, 0)$ is computed thus demonstrating that these bundles, which are labeled by integers, are non-trivial and mutually non-isomorphic. The constructed strongly $mathbb{Z}$-graded algebras are shown to have Hochschild cohomology reminiscent of that of Calabi-Yau algebras. The paper is supplemented by an observation that a grading by an Abelian group in the middle of a short exact sequence is strong if and only if the induced gradings by the outer groups in the sequence are strong." @default.
- W2951185137 created "2019-06-27" @default.
- W2951185137 creator A5068736348 @default.
- W2951185137 date "2014-05-13" @default.
- W2951185137 modified "2023-09-27" @default.
- W2951185137 title "Circle and line bundles over generalized Weyl algebras" @default.
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