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An Explicit Formula for the Generalized Cyclic Shuffle Map

  • Jiao Zhang,
    Department of Mathematics, Shanghai University, 99 Shangda Road, BaoShan District, 200444, Shanghai, P.R. China
  • Qing-Wen Wang,
    Department of Mathematics, Shanghai University, 99 Shangda Road, BaoShan District, 200444, Shanghai, P.R. China
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Abstract

We provide an explicit formula for the generalized cyclic shuffle map for cylindrical modules. Using this formula we give a combinatorial proof of the generalized cyclic Eilenberg-Zilber theorem.
Keywords: generalized Cyclic shuffle map, Cylindrical module, Eilenberg-Zilber theorem, Cyclic homology generalized Cyclic shuffle map, Cylindrical module, Eilenberg-Zilber theorem, Cyclic homology
MSC Classifications: 19D55, 05E45 show english descriptions $K$-theory and homology; cyclic homology and cohomology [See also 18G60]
Combinatorial aspects of simplicial complexes
19D55 - $K$-theory and homology; cyclic homology and cohomology [See also 18G60]
05E45 - Combinatorial aspects of simplicial complexes
 

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