Cohomology of Hopf $C^*$-algebras and Hopf von Neumann algebras

Details Cohomology of Hopf $C^*$-algebras and Hopf von Neumann algebras Cohomology of Hopf $C^*$-algebras and Hopf von Neumann algebras

2001-01-08

arxiv.org/abs/math/0101060v3

Proc. London Math. Soc. (3) 83 (2001) 708-742

Mathematics

Operator Algebras

The first statement of Remark 1.9(a) in the original published article (in Proc. LMS) does not follow directly from Lemma 1.7(

Scientific paper

In this article, we will define two canonical cohomology theories for Hopf
$C^*$-algebras and for Hopf von Neumann algebras (with coefficients in their
bicomodules). We will then study the situations when these cohomologies vanish.
The cases of locally compact groups and compact quantum groups will be
considered in more details.

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