Questions tagged [k-homology]

It is known that $K_* K^* $-theory is a common generalization both of $K$-homology and $K$-theory as an additive bivariant functor on separable C*-algebras. Is it possible to construct a $ H_* H^* $-...

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 ...

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 ...

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 $KK(C_0(X),\mathbb{C})$...

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. ...