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Results tagged with groupoids
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user 147609
A groupoid is a category where all morphisms are invertible. This notion can also be seen as an extension of the notion of group. A motivating example is the fundamental groupoid of a topological space with respect to several base points, compared to the usual fundamental group.
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Does this groupoid have a quasi-diagonal reduced $C^*$-algebra?
Let $H$ be a discrete group, and let $X$ be the one-point compactification of $\mathbb{N}$. Consider the étale groupoid $G = H \times \{\infty\} \sqcup \mathbb{N}$, whose unit space is $X$, and with o …
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Amenable groupoid C*-algebras satisfy the UCT in English?
As is by now well known, Tu proved in 1998 that the C*-algebras coming from amenable groupoids satisfy the so-called UCT (universal coefficient theorem). …
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Amenable groupoid C*-algebras satisfy the UCT in English?
For anyone that might see this in the future, in the chapter 12 of here you may find a short summary of the main ideas of Tu's proof.
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