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Timeline for Noncommutative smooth manifolds

Current License: CC BY-SA 4.0

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Feb 18, 2022 at 12:00 history edited Glorfindel CC BY-SA 4.0
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Jun 13, 2011 at 6:21 comment added Yemon Choi I think you are being a bit hasty: you need not just a smooth subalgebra but a spectral triple, as the other answers and comments have pointed out. Since A is a smooth subalgebra of A, I think more is needed in order to encode some notion of NC manifold... (If you want slightly less fatuous examples, then take something like $\ell^1({\mathbb Z})$ viewed as a dense *-subalgebra of $C^*({\mathbb Z})\cong C({\mathbb T})$.)
Jun 13, 2011 at 5:04 history answered BigBill CC BY-SA 3.0