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math.QA1998
Cyclic Homology of DG Coalgebras and a Kuenneth Formula
Masoud Khalkhali
In this note we extend the cyclic homology functor, and in particular the periodic cyclic homology, to the category of DG (= differential graded) coalgebras. We are partly motivate…
math.QA1998
Homology of L_{\infty}-Algebras and Cyclic Homology
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,…
math.QA1998
On Cyclic Homology of A_{\infty} Algebras
Masoud Khalkhali
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 c…