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|a urn:nbn:de:hbz:6-55309458340
|2 urn
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|a eng
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|a 510 Mathematik
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|a Buss, Alcides
|0 http://d-nb.info/gnd/133813630
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|a Universitäts- und Landesbibliothek Münster
|0 http://d-nb.info/gnd/5091030-9
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|a Generalized fixed point algebras for coactions of locally compact quantum groups
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|a [Electronic ed.]
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|c 2013
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|b Universitäts- und Landesbibliothek Münster
|c 2014-05-05
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|a 295-341
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|a free access
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|a We extend the construction of generalized fixed point algebras to the setting of locally compact quantum groups – in the sense of Kustermans and Vaes – following the treatment of Marc Rieffel, Ruy Exel and Ralf Meyer in the group case. We mainly follow Meyer’s approach analyzing the constructions in the realm of equivariant Hilbert modules. <br>We generalize the notion of continuous square-integrability, which is exactly what one needs in order to define generalized fixed point algebras. As in the group case, we prove that there is a correspondence between continuously square-integrable Hilbert modules over an equivariant <span style="font-style: italic;">C*</span>-algebra <span style="font-style: italic;">B </span>and Hilbert modules over the reduced crossed product of <span style="font-style: italic;">B </span>by the underlying quantum group. The generalized fixed point algebra always appears as the algebra of compact operators of the associated Hilbert module over the reduced crossed product.
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|a specialized
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|a InC 1.0
|u https://rightsstatements.org/vocab/InC/1.0/
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|a Artikel
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|t Münster Journal of Mathematics
|g 6 (2013), S. 295-341
|i IsPartOf
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|u urn:nbn:de:hbz:6-55309458340
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|u https://repositorium.uni-muenster.de/document/miami/32d49997-a0f3-4227-b58b-bce723fbee9d/MJM_2013_6_295-341.pdf
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