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Results tagged with noncommutative-geometry
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user 2503
Noncommutative geometry in the sense of Connes and beyond: noncommutative algebras viewed as functions on a noncommutative space.
22
votes
Accepted
Why is "naive" definition of non-commutative spectrum bad?
I have also wondered about this question and recently came across some papers that seem to answer it.
First of all, the paper
Manuel L. Reyes, Obstructing extensions of the functor Spec to noncommu …
- 5,901
9
votes
Accepted
K theory long exact sequence
Regarding the first question:
If $X$ is quasi-compact quasi-separated and $U \to X$ is a quasi-compact open immersion, then Thomason-Trobaugh showed that there is a "proto-localization sequence", i.e …
- 5,901
23
votes
Accepted
Mysterious quotes (at least for me)
Here is a guess about the remark of Orlov. Suppose that one wants to define a good notion of noncommutative scheme, given that an affine noncommutative scheme is an associative algebra. Trying to de …
- 5,901
14
votes
Accepted
Relationship between Hochschild cohomology and Drinfeld centers
Classically, Hochschild cohomology is an invariant defined for associative algebras while the Drinfeld centre is an invariant defined for monoidal categories. The latter is a categorification of the …
- 5,901