Cyclic Cocycles on a Dilation of a Pre-Fredholm Module to a Fredholm Module.

摘要

To any based linear map rho: A -> B of unital algebras one can associate a certain universal algebra, the GNS algebra. The algebra is used to 'dilate' modules over B to modules over the algebra A. As an example of the situation, the authors discuss dilation of a pre-Fredholm module to a Fredholm module. It is also shown how to associate cyclic cocycles with pre-Fredholm module data using the GNS construction.