BIVARIANT CYCLIC COHOMOLOGY AND MODELS FOR CYCLIC HOMOLOGY TYPES
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Publication Details
Output type: Journal article
Author list: QUILLEN D
Publisher: Elsevier
Publication year: 1995
Journal: Journal of Pure and Applied Algebra (0022-4049)
Volume number: 101
Issue number: 1
Start page: 1
End page: 33
Number of pages: 33
ISSN: 0022-4049
eISSN: 1873-1376
Languages: English-Great Britain (EN-GB)
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Open access status: closed
Abstract
This paper concerns types of algebraic objects, such as mixed complexes and S-modules, which are used to obtain the homology and cohomology of interest in cyclic homology theory. We prove that the following five categories are equivalent: The derived category of mixed complexes. The homotopy category of free mixed complexes. The derived category of S-modules. The homotopy category of divisible S-modules. The homotopy category of special towers of supercomplexes. Thus any of these categories represents the category of cyclic homotopy types.
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