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On Cyclic Homology of A_{\infty} Algebras

Quantum Algebra 2007-05-23 v1 K-Theory and Homology

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.

Keywords

Cite

@article{arxiv.math/9805051,
  title  = {On Cyclic Homology of A_{\infty} Algebras},
  author = {Masoud Khalkhali},
  journal= {arXiv preprint arXiv:math/9805051},
  year   = {2007}
}

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16 pages