Use this URL to cite or link to this record in EThOS: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.373079
Title: Products and Kunneth theorems in cyclic homology and cohomology theories
Author: Hood, Christine Elizabeth
ISNI:       0000 0001 3581 2306
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 1985
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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.
Supervisor: Not available Sponsor: Science and Engineering Research Council
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.373079  DOI: Not available
Keywords: QA Mathematics
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