The Chern–Galois character
By Tomasz Brzezinski, P. M. Hajac. 2003
90 citations recorded by the source corpus.
Abstract Following the idea of Galois-type extensions and entwining structures, we define the notion of a principal extension of noncommutative algebras. We show that modules associated to such extensions via finite-dimensional corepresentations are finitely generated projective, and determine an explicit formula for the Chern character applied to the modules so obtained. To cite this article: T. Brzezinski, P.M. Hajac, C. R. Acad. Sci. Paris, Ser. I 338 (2004).
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/7ba65a32efcef0e70818f09b4e40112be9a3a4bc
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Free actions of compact quantum group on unital C*-algebras (2013, background): “coH- module in a natural way. One of the key properties of principal comodule algebras is that, for any finite-dimensional left H-comodule V, the left PcoH-module P✷ HV is finitely generated projective [BH04]. Here P plays the role of a principal bundle and P✷HV plays the role of an associated vector ”
- Topics in Noncommutative Geometry (2015, background): “It is worth mentioning principal comodule algebras, that are Hopf-Galois extensions satisfying an additional condition called “equivariant projectivity” [41], and principal extensions, that are principal comodule algebras satisfying two additional conditions [15].”