Loday--Quillen--Tsygan Theorem for Coalgebras
K-Theory and Homology
2007-05-23 v1
Abstract
In this paper we prove that Loday--Quillen--Tsygan Theorem generalizes to the case of coalgebras. Specifically, we show that the Chevalley--Eilenberg--Lie homology of the Lie coalgebra of infinite matrices over a coassociative coalgebra is generated by the cyclic homology of the underlying coalgebra as an exterior algebra.
Keywords
Cite
@article{arxiv.math/0411661,
title = {Loday--Quillen--Tsygan Theorem for Coalgebras},
author = {Atabey Kaygun},
journal= {arXiv preprint arXiv:math/0411661},
year = {2007}
}
Comments
LaTeX, 22 pages