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- W4288625169 abstract "We initiate a study of projections and modules over a noncommutative cylinder, a simple example of a noncompact noncommutative manifold. Since its algebraic structure turns out to have many similarities with the noncommutative torus, one can develop several concepts in a close analogy with the latter. In particular, we exhibit a countable number of nontrivial projections in the algebra of the noncommutative cylinder itself, and show that they provide concrete representatives for each class in the corresponding $K_0$ group. We also construct a class of bimodules endowed with connections of constant curvature. Furthermore, with the noncommutative cylinder considered from the perspective of pseudo-Riemannian calculi, we derive an explicit expression for the Levi-Civita connection and compute the Gaussian curvature." @default.
- W4288625169 created "2022-07-30" @default.
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- W4288625169 date "2019-01-22" @default.
- W4288625169 modified "2023-10-14" @default.
- W4288625169 title "Projections, modules and connections for the noncommutative cylinder" @default.
- W4288625169 doi "https://doi.org/10.48550/arxiv.1901.07276" @default.
- W4288625169 hasPublicationYear "2019" @default.
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