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For questions about coalgebras, comultiplication, cocommutativity, counity, comodules, bicomodules, coactions, corepresentations, cotensor product, subcoalgebras, coideals, coradical, cosemisimplicity, ...
4
votes
Algebraic geometry for cocommutative corings with counit.
I'd like to point out that you get a different answer in the category of graded coalgebras. … However, it is true that if $A$ is a finitely generated algebra, it has a completion $\hat{A}$ related to coalgebras such that $\text{Spec}(\hat{A})$ is an atomized form of $\text{Spec}(A)$. …
6
votes
Accepted
A coalgebraic description of the hyperfinite II_1 revisited
This is an interesting question, but the motivation is a bit misaligned. $C^*$ algebras are a non-commutative or quantum generalization of compact Hausdorff spaces and von Neumann algebras are a non- …
2
votes
Is there a coalgebraic characterisation of the hyperfinite II_1 factor?
I thought about this question some yesterday. As I was saying in the related post, von Neumann algebras are a non-commutative or quantum generalization of measurable spaces, $C^*$ algebras are a non- …