##  [Cyclic Homology](/cyclic-homology) 

  ##  [Cyclic Homology](https://algebra.quantumdictionary.io/cyclic-homology-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A refinement of Hochschild homology that takes account of cyclic symmetry to detect periodicity phenomena and link to de Rham-type invariants; cyclic homology HC_* is constructed from Hochschild chains by forming a mixed complex or quotient by cyclic action.