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dc.contributor.advisor Meyer, Ralf Prof. Dr.
dc.contributor.author Roy, Sutanu
dc.date.accessioned 2014-06-25T09:37:27Z
dc.date.available 2014-06-25T09:37:27Z
dc.date.issued 2014-06-25
dc.identifier.uri http://hdl.handle.net/11858/00-1735-0000-0022-5EF9-0
dc.language.iso eng de
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/
dc.subject.ddc 510 de
dc.title C*-quantum groups with projection de
dc.type doctoralThesis de
dc.contributor.referee Meyer, Ralf Prof. Dr.
dc.date.examination 2013-09-26
dc.description.abstracteng We propose a general theory to study semidirect products of C -quantum groups in the framework of multiplicative unitaries. Starting from a quantum group with a projection we decompose its multiplicative unitary as a product of two unitary operators. One of them is again a multiplicative unitary in the standard sense; it describes the quotient. The other unitary is multiplicative in a braided sense; it corresponds to the kernel of the projection. Conversely, starting from a standard multiplicative unitary and a braided multiplicative unitary acting on different Hilbert spaces we construct a standard multiplicative unitary acting on the tensor product of them. Basic tools used to achieve this contain the interpretation of bicharacters as homomorphisms between quantum groups, generalised crossed products of C -algebras carrying coactions of quasitriangular quantum groups (quantum groups with a unitary R-matrix), and Yetter–Drinfeld C -algebras. de
dc.contributor.coReferee Bahns, Dorothea Prof. Dr.
dc.subject.eng C*-algebra, quantum group, bicharacter, crossed product, R-matrix, braided multiplicative unitary. de
dc.identifier.urn urn:nbn:de:gbv:7-11858/00-1735-0000-0022-5EF9-0-9
dc.affiliation.institute Fakultät für Mathematik und Informatik de
dc.subject.gokfull Mathematics (PPN61756535X) de
dc.identifier.ppn 788898094

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