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COHOMOLOGY OF HOPF C*-ALGEBRAS AND HOPF VON NEUMANN ALGEBRAS

Published online by Cambridge University Press:  18 October 2001

CHI-KEUNG NG
CHI-KEUNG NG
Affiliation:
Department of Pure Mathematics, The Queen's University of Belfast, Belfast BT7 1NN, Northern Ireland, [email protected]
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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

comodulescohomologyamenability
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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