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Square-integrable coactions of locally compact quantum groups
No full textWe define and study square-integrable coactions of locally compact quantum groups on Hilbert modules, generalising previous work for group actions. As special cases, we consider square-integrable Hilbert space corepresentations and integrable coactions on C -algebras. Our main result is an equivariant generalisation of Kasparov's Stabilisation Theorem
Continuous spectral decompositions of Abelian group actions on C∗-algebras
No full textAbstractLet G be a locally compact Abelian group. Following Ruy Exel, we view Fell bundles over the Pontrjagin dual group of G as continuous spectral decompositions of G-actions on C∗-algebras. We classify such spectral decompositions using certain dense subspaces related to Marc Rieffel's theory of square-integrability. There is a unique continuous spectral decomposition if the group acts properly on the primitive ideal space of the C∗-algebra. But there are also examples of group actions without or with several inequivalent spectral decompositions
Non-Hausdorff symmetries of C -algebras
No full textSymmetry groups or groupoids of C -algebras associated to non-Hausdorff spaces are often non-Hausdorff as well. We describe such symmetries using crossed modules of groupoids. We define actions of crossed modules on C -algebras and crossed products for such actions, and justify these definitions with some basic general results and examples
Cobra Norato e a especificidade da linguagem poética
Full text linkDissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Comunicação e Expressão
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