Chern characters associated with almost commuting algebras
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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.References
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Additional Information
- Daoxing Xia
- Affiliation: Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240
- Email: xiad@ctrvax.vanderbilt.edu
- Received by editor(s): August 16, 1995
- Additional Notes: This work is supported in part by NSF grant DMS-9400766.
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 507-514
- MSC (1991): Primary 47A55; Secondary 47G05
- DOI: https://doi.org/10.1090/S0002-9939-97-03688-5
- MathSciNet review: 1363189