Loday--Quillen--Tsygan Theorem for Coalgebras

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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.
LaTeX, 22 pages

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K-Theory and Homology

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http://salesiana.dossiersoluciones.com/handle/123456789/73428

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411661
 http://arxiv.org/abs/math/0411661

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arXiv