One of the last topics Gerard Murphy has worked on was the connection between quantum group theory and noncommutative geometry. In particular, he studied in joint work with Kustermans and Tuset the link between Woronowicz's covariant differential calculi over quantum groups and Connes' cyclic homology. It seems fair to say that their paper on this subject has influenced significantly the development of the whole research area. Together with the work of Connes and Moscovici, it initiated the investigation of the role of coefficients in cyclic homology. Besides, it turned out to be intimately related to Poincaré-type dualities between Hochschild homology and cohomology. In this talk I will survey mainly the latter aspect on which I have worked in the last years together with Hadfield.
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Last updated 21 April 2008. This page was created and is maintained by Stephen Wills (s.wills@ucc.ie).