Questions tagged [k-homology]

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11
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0answers
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Higher traces in Hochschild cohomology

Let $A$ be an associative algebra over a field $k$. Let $\rho:A \rightarrow \mathrm{End}(M)$ a left module, finite dimensional over $k$. Then the map $a \mapsto \mathrm{tr}_M \rho(a)$ is a well ...
2
votes
0answers
57 views

Understanding the relationship between Spin$^c$ orientations and Spin$^c$ structures

I'm looking for some guidance in understanding and writing down a proof of the following statement, concerning the relationship between Spin$^c$ structures and Spin$^c$ orientations, from an ...
3
votes
1answer
466 views

K-homology of Cantor set and abelian AF-algebras

This may be a standard question answered in a book, or article. I don't know. I know that there exist related results with $\lim^1$-sequences (Rosenberg and Schochet). What is $KK(C_0(X),\mathbb{C})$...
4
votes
2answers
2k views

Lists of K-homology Groups

There sohould be a list of K-theory and K-homology groups for the the standard spaces, like circle, spheres, (non-commutative) tori, but despite I've googled for it, I have found nothing satisfying. ...