Categorical Non-commutative Geometry
arXiv:1409.1337 · doi:10.1088/1742-6596/346/1/012003
Abstract
The purpose of this short note was to outline the current status, then in 2011, of some research programs aiming at a categorification of parts of A.Connes' non-commutative geometry and to provide an outlook on some possible subsequent developments in categorical non-commutative geometry.
10 pages, AMS-LaTeX2e. Reformatted version, only for arXiv purposes, of a paper submitted for the proceedings of the 6th Baltic-Nordic workshop "Algebra, Geometry, and Mathematical Physics" (Sweden, October 25-30, 2010). Some of the notions described here (such as higher-C*-categories) underwent some significant evolution since the time (February 2011) of the writing of this short review