Leavitt vs. $C^*$ pullbacks
Category Theory
2020-02-07 v2 Functional Analysis
Operator Algebras
Abstract
We show that certain pullbacks of -algebras equivariant with respect to a compact group action remain pullbacks upon completing to -algebras. This unifies a number of results in the literature on graph algebras, showing that pullbacks of Leavitt path algebras lift automatically to pullbacks of the corresponding graph -algebras.
Cite
@article{arxiv.1909.09624,
title = {Leavitt vs. $C^*$ pullbacks},
author = {Alexandru Chirvasitu},
journal= {arXiv preprint arXiv:1909.09624},
year = {2020}
}
Comments
7 pages + references; content changed substantially after feedback