arXiv subjects

J. Kustermans

Publications and source records attributed to J. Kustermans.

2 recordsLinked to original sources

arXiv2001

Quantum groups, differential calculi and the eigenvalues of the Laplacian

We study *-differential calculi over compact quantum groups in the sense of S.L. Woronowicz. Our principal results are the construction of a Hodge operator commuting with the Laplacian, the derivation of a corresponding Hodge decomposition of the calculus of forms, and, for Woronowicz' first calculus, the calculation of the eigenvalues of the Laplacian

math.QA↗

arXiv2001

Differential Calculi over Quantum Groups and Twisted Cyclic Cocycles

We study some aspects of the theory of non-commutative differential calculi over complex algebras, especially over the Hopf algebras associated to compact quantum groups in the sense of S.L. Woronowicz. Our principal emphasis is on the theory of twisted graded traces and their associated twisted cyclic cocycles. One of our principal results is a new method of constructing differential calculi, using twisted graded traces.

math.QA↗