Traces on Multiplier Hopf Algebras |
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Authors: | L Delvaux |
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Institution: | 1. Department of Mathematics , Universiteit Hasselt , Diepenbeek, Belgium lydia.delvaux@uhasselt.be |
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Abstract: | In this article we lay the algebraic foundations to establish the existence of trace functions on infinite-dimensional (multiplier) Hopf algebras. We solve the problem within the framework of multiplier Hopf algebra with integrals. By applying this theory to group-cograded multiplier Hopf algebras, we prove the existence of group-traces on group-cograded multiplier Hopf algebras with possibly infinite-dimensional components. We generalize the results as obtained by Virelizier in the case of finite-type Hopf group-coalgebras. |
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Keywords: | Hopf algebras Multiplier Traces |
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