Homology of L_infty-algebras and Cyclic Homology, by Masoud Khalkhali

A classical result of Loday-Quillen and Tsygan states that the Lie algebra homology of the algebra of stable matrices over an associative algebra is isomorphic, as a Hopf algebra, to the exterior algebra of the cyclic homology of the algebra. In this paper we develop the necessary tools needed to extend this result to the category of L_infty-algebras.


Masoud Khalkhali <khalkhali@uwo.ca>