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C*-quantum groups with projection

dc.contributor.advisorMeyer, Ralf Prof. Dr.
dc.contributor.authorRoy, Sutanu
dc.titleC*-quantum groups with projectionde
dc.contributor.refereeMeyer, Ralf Prof. Dr.
dc.description.abstractengWe 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
dc.contributor.coRefereeBahns, Dorothea Prof. Dr.
dc.subject.engC*-algebra, quantum group, bicharacter, crossed product, R-matrix, braided multiplicative
dc.affiliation.instituteFakultät für Mathematik und Informatikde
dc.subject.gokfullMathematics (PPN61756535X)de

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