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.identifier.uri | http://dx.doi.org/10.53846/goediss-4485 | |
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 | |