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Loday--Quillen--Tsygan Theorem for Coalgebras

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

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Atabey Kaygun. 2004-11-30. Loday--Quillen--Tsygan Theorem for Coalgebras. https://arxiv.org/abs/math/0411661

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