Quantum Principal Bundles and Tannaka-Krein Duality Theory
Abstract
Description
The structure of quantum principal bundles is studied, from the viewpoint of Tannaka-Krein duality theory. It is shown that if the structure quantum group is compact, principal G-bundles over a quantum space M are in a natural correspondence with certain contravariant functors defined on the category of finite-dimensional unitary representations of G, with the values in the category of finite projective bimodules over a *-algebra representing the base space.
12 pages, AMS-LaTeX, Workshop on Algebra, Morelia, Mexico, Jan 95
12 pages, AMS-LaTeX, Workshop on Algebra, Morelia, Mexico, Jan 95