Braided module and comodule algebras, Galois extensions and elements of trace 1

MAURICIO DA ROCHA; JORGE GUCCIONE; JUAN JOSÉ GUCCIONE

JOURNAL OF ALGEBRA

Elsevier

Lugar: Amsterdam; Año: 2007 vol. 307 p. 727 - 768

0021-8693

Let k be a field and let H be a rigid braided Hopf k-algebra. In this paper we continue the study of the theory of braided Hopf crossed products began in [``Theory of braided Hopf crossed products´´, Journal of Algebra 261 (2003) 54-101]. First we show that to have an H-braided comodule algebra is the same that to have an H^{dag}-braided module algebra, where H^{dag} is a variant of H^*, and then we study the maps [ , ] and ( , ), that appear in the Morita context introduced in the above cited paper.