On the entire cyclic cohomology of Banach algebras.
Date
1991
Authors
Khalkhali, Masoud.
Journal Title
Journal ISSN
Volume Title
Publisher
Dalhousie University
Abstract
Description
In this thesis we study some aspects of A. Connes' entire cyclic cohomology theory. This is a new cohomology theory of de Rham type for Banach algebras. We prove a comparison theorem which shows that the theory can be formulated in terms of the Loday-Quillen-Tsygan bicomplex. This allows us to extend the theory to the non-unital category and is a basis for the rest of the thesis. We improve on the existing formulas for pairing with K-theory and prove stability and additivity results for the theory. Finally, we prove a vanishing theorem for actions of derivations on the theory and deduce the homotopy invariance of the theory.
Thesis (Ph.D.)--Dalhousie University (Canada), 1991.
Thesis (Ph.D.)--Dalhousie University (Canada), 1991.
Keywords
Mathematics.