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COMPACT QUANTUM GROUP ACTIONS ON C*-ALGEBRAS

DUMITRU, ALINA RALUCA
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1178900803

Abstract Details

2007, PhD, University of Cincinnati, Arts and Sciences : Mathematical Sciences.
We investigate the generator properties of derivations which are invariant with respect to compact quantum group coactions. We prove that if the linear span of the spectral subspaces associated to irreducible unitary representations of the quantum group is included in the domain of the derivation, then the derivation is the generator of a one parameter group of automorphisms. In particular, for an ergodic system, this assumption is automatically satisfied. Furthermore,we use quantum versions of subspaces of spherical functions of the crossed product in order to obtain necessary and sufficient conditions on the simplicity and primeness of the crossed product obtained by compact quantum group coactions.
Dr. Costel Peligrad (Advisor)
101 p.
Mathematics

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Citations

  • DUMITRU, A. R. (2007). COMPACT QUANTUM GROUP ACTIONS ON C*-ALGEBRAS [Doctoral dissertation, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1178900803

    APA Style (7th edition)

  • DUMITRU, ALINA. COMPACT QUANTUM GROUP ACTIONS ON C*-ALGEBRAS. 2007. University of Cincinnati, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1178900803.

    MLA Style (8th edition)

  • DUMITRU, ALINA. "COMPACT QUANTUM GROUP ACTIONS ON C*-ALGEBRAS." Doctoral dissertation, University of Cincinnati, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1178900803

    Chicago Manual of Style (17th edition)

ucin1178900803
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© 2007, all rights reserved.
This open access ETD is published by University of Cincinnati and OhioLINK.