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math.KT2012★ 2 cited
A new construction of cyclic homology
Victor Ginzburg, Travis Schedler
Based on the ideas of Cuntz and Quillen, we give a simple construction of cyclic homology of unital algebras in terms of the noncommutative de Rham complex and a certain differenti…
math.KT2008★ 4 cited
Free products, cyclic homology, and the Gauss-Manin connection
Victor Ginzburg, Travis Schedler, Boris Tsygan
We present a new approach to cyclic homology that does not involve the Connes differential and is based on a `noncommutative equivariant de Rham complex' of an associative algebra.…
math.KT2005★ 11 cited
Double derivations and Cyclic homology
Victor Ginzburg
We give a new construction of cyclic homology of an associative algebra A that does not involve Connes' differential. Our approach is based on an extended version of the complex ΩA…