Homotopy theory with *categories
K-Theory and Homology
2019-09-16 v4 Algebraic Topology
Operator Algebras
Abstract
We construct model category structures on various types of (marked) *-categories. These structures are used to present the infinity categories of (marked) *-categories obtained by inverting (marked) unitary equivalences. We use this presentation to explicitly calculate the \infty-categorical G-fixed points and G-orbits for G-equivariant (marked) *-categories.
Cite
@article{arxiv.1612.03782,
title = {Homotopy theory with *categories},
author = {Ulrich Bunke},
journal= {arXiv preprint arXiv:1612.03782},
year = {2019}
}
Comments
69 pages (final version)