Generalized Coefficients for Hopf Cyclic Cohomology

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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dc.contributor.author	Hassanzadeh, M.
dc.contributor.author	Kucerovsky, D.
dc.contributor.author	Rangipour, B.
dc.date.accessioned	2019-02-10T09:50:59Z
dc.date.available	2019-02-10T09:50:59Z
dc.date.issued	2014
dc.identifier.citation	Generalized 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.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 19D55; 16T05; 11M55
dc.identifier.other	DOI:10.3842/SIGMA.2014.093
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146601
dc.description.abstract	A 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.sponsorship	This 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/ST1/06474	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Generalized Coefficients for Hopf Cyclic Cohomology	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA