Tag Archives: Atiyah conjecture

Connes Embeddings and von Neumann Regular Closures of Group Algebras

This is an interesting paper of Gabor Elek’s which touches on some things I’ve posted about recently – especially (i) the Atiyah conjecture and (ii) the idea (which shows up in the work of Ara et al) that one can use some kind of “asymptotic rank” instead of “asymptotic trace” in some contexts where you want to build “continuous dimension” type invariants.

The Atiyah conjecture is false (sort of)

Diarmuid Crowley visited for a couple of days last week to talk about the Manifold Atlas Project which is a plan to produce a sort of online encyclopedia/journal of information about all sorts of manifolds. Of course we talked about other things also, and I learned from Diarmuid about a paper by Tim Austin of UCLA which gives a counterexample to a version of the “Atiyah Conjecture”.

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