A note on the equivariant Chern character in Noncommutative Geometry

Autor:	Kosmeijer, Bjarne, Posthuma, Hessel
Rok vydání:	2023
Předmět:	Mathematics - Differential Geometry Mathematics - K-Theory and Homology 19D55 55N91 46L87
Druh dokumentu:	Working Paper
Popis:	Given a smooth action of a Lie group on a manifold, we give two constructions of the Chern character of an equivariant vector bundle in the cyclic cohomology of the crossed product algebra. The first construction associates a cycle to the vector bundle whose structure maps are closely related to Getzler's model for equivariant cohomology. The second construction uses a direct map between this model and the (periodic) cyclic cohomology localized at the unit element. Finally, it is shown that the two constructions are equivalent when the action is proper. Comment: 38 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2304.03680 Zobrazit plný text záznamu View this record from Arxiv