A new construction of cyclic homology (Q2800463)
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scientific article; zbMATH DE number 6569538
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new construction of cyclic homology |
scientific article; zbMATH DE number 6569538 |
Statements
A new construction of cyclic homology (English)
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15 April 2016
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cyclic homology
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unital algebras
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Connes differential
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Karoubi-De Rham differential
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The authors give a new definition of (reduced) cyclic homology for unital algebras over fields of characteristic zero, based on the analogy between the Connes differential and the familiar De Rham differential on differential forms. In their approach, the cyclic homology is built directly in terms of the non-commutative \ De Rham complex so that the Karoubi-De Rham differential replaces the Connes differential. \ Then a simpler proof of the Karoubi theorem on \ an exact sequence is obtained.NEWLINENEWLINEThis new cyclic homology is closely analogous with equivariant cohomology and is also similar with truncated De Rham complexes.
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