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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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Generalized Coefficients for Hopf Cyclic Cohomology
Інший ID:
2010 Mathematics Subject Classification: 19D55; 16T05; 11M55
DOI:10.3842/SIGMA.2014.093
DOI:10.3842/SIGMA.2014.093
Посилання:
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.
Підтримка:
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
Дата:
2014
Переглядів:
521
Завантажень:
251
Анотація:
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.
