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For questions about coalgebras, comultiplication, cocommutativity, counity, comodules, bicomodules, coactions, corepresentations, cotensor product, subcoalgebras, coideals, coradical, cosemisimplicity, ...

9 votes
1 answer
392 views

Is there a coalgebraic characterisation of the hyperfinite II_1 factor?

Peter Freyd showed that the real interval [0, 1] is a final coalgebra for a functor on sets equipped with two points, which sends such a set to the 'wedge' of two copies of itself, identifying the sec …
7 votes
1 answer
376 views

A coalgebraic description of the hyperfinite II_1 revisited

Perhaps results such as Adamek's Final Coalgebras are Ideal Completions of Initial Algebras may be extended here. This put me on the quest of characterising the hyperfinite factor coalgebraically. …