Overview

Topological homology concerns questions on the structure and properties of Banach and C*-algebras. Mainly it describes their properties from the viewpoint of homological algebra.

We are particularly interested in the cohomological problems that arise in noncommutative geometry, for example, the calculation of cyclic type cohomology of topological algebras. The theory has applications in many branches of mathematics, including spectral theory, the theory of de Rham homology in differential geometry, automatic continuity theory and K-theory.

Staff

The following members of staff from the School of Mathematics and Statistics are members of the Topological Homology research group.