Loday--Quillen--Tsygan Theorem for Coalgebras

Details Loday--Quillen--Tsygan Theorem for Coalgebras Loday--Quillen--Tsygan Theorem for Coalgebras

2004-11-30

arxiv.org/abs/math/0411661v1

Mathematics

K-Theory and Homology

LaTeX, 22 pages

Scientific paper

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 $C$ is generated by the cyclic homology of the underlying coalgebra
$C$ as an exterior algebra.

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