Generalized Coefficients for Hopf Cyclic Cohomology

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dc.contributor.authorHassanzadeh, M.
dc.contributor.authorKucerovsky, D.
dc.contributor.authorRangipour, B.
dc.date.accessioned2019-02-10T09:50:59Z
dc.date.available2019-02-10T09:50:59Z
dc.date.issued2014
dc.description.abstractA category of coefficients for Hopf cyclic cohomology is defined. It is shown that this category has two proper subcategories of which the smallest one is the known category of stable anti Yetter-Drinfeld modules. The middle subcategory is comprised of those coefficients which satisfy a generalized SAYD condition depending on both the Hopf algebra and the (co)algebra in question. Some examples are introduced to show that these three categories are different. It is shown that all components of Hopf cyclic cohomology work well with the new coefficients we have defined.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue on Noncommutative Geometry and Quantum Groups in honor of Marc A. Rief fel. The full collection is available at http://www.emis.de/journals/SIGMA/Rieffel.html. The authors of the manuscript are thankful to the organizers of Focus Program on Noncommutative Geometry and Quantum Groups, which was held at Fields Institute June 3–28, 2013 for the invitation and the support. Special thanks to P.M. Hajac for his valuable comments and his unique attention to Hopf cyclic cohomology. Last but not least, we would like to thank the referees for their extremely helpful comments. This work is part of the project supported by the NCN grant 2011/01/B/ST1/06474uk_UA
dc.identifier.citationGeneralized Coefficients for Hopf Cyclic Cohomology / M. Hassanzadeh, D. Kucerovsky, B. Rangipour // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 16 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 19D55; 16T05; 11M55
dc.identifier.otherDOI:10.3842/SIGMA.2014.093
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146601
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleGeneralized Coefficients for Hopf Cyclic Cohomologyuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік