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Chern characters associated with almost commuting algebras

Authors:	Daoxing Xia

Institution:	Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240

Abstract:	A trace formula related to -almost commuting subalgebras and 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.

Keywords:	Cyclic cohomology Chern character K-theory almost commuting deformed commutator twisted commutator

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