Hood, Christine Elizabeth (1985) Products and Kunneth theorems in cyclic homology and cohomology theories. PhD thesis, University of Warwick.

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Abstract

This thesis is concerned with the construction of products in cyclic homology and cohomology, by use of the methods of acyclic models. A theory HC ˉ͙ (A) which is dual to cyclic cohomology HC *(A) over its natural coefficients is introduced, and products are defined HC ˉ͙ (A) and HC * (A). The product then induced on cyclic homology HC ͙(A) is shown to agree with that defined by Loday and Quillen. By using HC ˉ͙ (A), it is possible to construct a multiplicative chern character ch : K ᵢ (A) → HC ˉᵢ-2α (A). Kunneth theorems in the various theories are proved, and some examples are considered.

Item Type:	Thesis (PhD)
Subjects:	Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH):	Homology theory, Cohomology operations, Acyclic models
Official Date:	August 1985
Dates:	Date Event August 1985 Submitted
Institution:	University of Warwick
Theses Department:	Mathematics Institute
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	Jones, John
Sponsors:	Science and Engineering Research Council (Great Britain)
Extent:	118 leaves : illustrations
Language:	eng

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