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Hopf Cyclic Cohomology and Chern Character of Equivariant K-Theoriesстатья
Статья опубликована в журнале из списка RSCI Web of Science
Статья опубликована в журнале из списка Web of Science и/или Scopus- Авторы: Nikonov I.M., Sharygin G.I.
- Журнал: Russian Journal of Mathematical Physics
- Том: 22
- Номер: 3
- Год издания: 2015
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- DOI: 10.1134/S1061920815030085
- Аннотация: We extend the Chern character construction of Neshveyev and Tuset to a map whose values lie in Hopf cyclic homology with coefficients, generalizing their definition of K-theory as well. We also introduce the sheaf equivariant K-theory (with and without coeffi- cients) similar to the equivariant cohomology of Block and Getzler. This construction is much more geometric (it is defined only for the case in which the Hopf algebra and the Hopf-module algebra are both algebras of functions on some spaces). Thus, we give a geometric definition of the corresponding Chern character, which takes values in a version of Block–Getzler’s sheaf of equivariant cohomology.
- Добавил в систему: Шарыгин Георгий Игорьевич