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On Cyclic Homology of A_{\infty} Algebras

Masoud Khalkhali
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Abstract

We present an approach to cyclic homology of A_{\infty} algebras. Our main technical tool is the concept of X-complex due to Cuntz and Quillen. This, in particular, enables us to compute the periodic cyclic homology of an A_{\infty} algebra in terms of the periodic cyclic homology of its homology.

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Masoud Khalkhali. 1998-05-11. On Cyclic Homology of A_{\infty} Algebras. https://arxiv.org/abs/math/9805051

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