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COHOMOLOGY OF HOPF C*-ALGEBRAS AND HOPF VON NEUMANN ALGEBRAS
Published online by Cambridge University Press: 18 October 2001
Abstract
We define two canonical cohomology theories for Hopf C*-algebras and for Hopf von Neumann algebras (with coefficients in their comodules). We then study the situations when these cohomologies vanish. The cases of locally compact groups and compact quantum groups are considered in more detail. E-mail: [email protected] 2000 Mathematical Subject Classification: primary 46L05, 46L55; secondary 43A07, 22D25.
Keywords
- Type
- Research Article
- Information
- Proceedings of the London Mathematical Society , Volume 83 , Issue 3 , November 2001 , pp. 708 - 742
- Copyright
- 2001 London Mathematical Society
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