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Results tagged with kt.k-theory-and-homology
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user 118688
Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras
5
votes
1
answer
362
views
K-theory for a (geometric) stack
There is a notion of $K$-theory for a manifold $M$.
Is there a notion of $K$-theory for a stack $\mathcal{D}\rightarrow \text{Man}$ that is representable by a Lie groupoid $\mathcal{G}$; that is …
- 6,023
2
votes
1
answer
236
views
$C^*$-algebras appearance in study of Lie groupoids and differentiable stacks
I am reading Differentiable stacks, gerbes, and twisted K-Theory by Ping Xu.
To talk about (twisted) K-theory of differentiable stacks, author introduced (page $41$) the set up of $C^*$-algebras. All …
- 63.9k
0
votes
Looking for an introduction to orbifolds
Eugene Lerman’s Orbifolds as stacks? discuss about orbifolds from point of view of Lie groupoids/Differentiable stacks.
The user dvitek mentioned the same paper in a comment to some answer.
- 6,023
13
votes
1
answer
932
views
"a sign that one should be computing K-theory"
Allen Knutson said here in comments below the question that
I generally regard torsion in (co)homology as a sign that one should be computing K-theory instead, which has less of it.
I know one …
- 56.9k