Differential calculi over quantum groups

• Autorzy: G. J. Murphy
• Języki publikacji: EN

Abstrakty

EN

An exposition is given of recent work of the author and others on the differential calculi that occur in the setting of compact quantum groups. The principal topics covered are twisted graded traces, an extension of Connes' cyclic cohomology, invariant linear functionals on covariant calculi and the Hodge, Dirac and Laplace operators in this setting. Some new results extending the classical de Rham theorem and Poincaré duality are also discussed.

Kategorie tematyczne

• 46L05: General theory of C * -algebras
• 46L65: Quantizations, deformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2003
• Tom: 61
• Numer: 1
• Strony: 157-170

Daty

wydano

2003

Twórcy

autor

G. J. Murphy

• Department of Mathematics, National University of Ireland, Cork, Ireland

Identyfikatory

DOI

10.4064/bc61-0-11