On Cyclic Homology of A_{\infty} Algebras

Details On Cyclic Homology of A_{\infty} Algebras On Cyclic Homology of A_{\infty} Algebras

1998-05-11

arxiv.org/abs/math/9805051v1

Mathematics

Quantum Algebra

16 pages

Scientific paper

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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