On order units in the augmentation ideal
Group Theory
2023-10-06 v2 Operator Algebras
Rings and Algebras
Abstract
We study order units in the real group ring and the augmentation ideal, as well as in matrix algebras. We identify an infinite family of order units in the powers of the augmentation ideal, that includes the Laplacian, and show that these order units are naturally obtained via cohomological operations from more simpler diagonal order units in matrix algebras.
Keywords
Cite
@article{arxiv.2301.07590,
title = {On order units in the augmentation ideal},
author = {Piotr Mizerka and Piotr W. Nowak},
journal= {arXiv preprint arXiv:2301.07590},
year = {2023}
}
Comments
Final version, to appear in PAMS