Chern characters associated with almost commuting algebras

Xia, Daoxing

doi:10.1090/S0002-9939-97-03688-5

Chern characters associated with almost commuting algebras
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Proc. Amer. Math. Soc. 125 (1997), 507-514 Request permission

Abstract:

A trace formula related to $p$-almost commuting subalgebras $X$ and $Y$ is established. By means of this formula, homomorphisms from $K_{0}(X)$ to $H^{\mathrm {odd}}_{\lambda }(Y)$ and from $K_{1}(X)$ to $H^{\mathrm {even}}_{\lambda }(Y)$ are established. An index map from $K_{0}(X)\times K_{1}(Y)$ to $\mathbb {Z}$ is also given.

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