Questions tagged [k-homology]
The k-homology tag has no usage guidance.
4
questions
11
votes
0
answers
878
views
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
0
answers
65
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
1
answer
637
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
2
answers
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. ...