Now showing items 1-3 of 3

  • A characteristic map for compact quantum groups 

    Kaygun, Atabey; Sütlü, Serkan (Springer Heidelberg, 2017-09)
    We show that if G is a compact Lie group and g is its Lie algebra, then there is a map from the Hopf-cyclic cohomology of the quantum enveloping algebra U-q(g) to the twisted cyclic cohomology of quantum group algebra ...
  • Hochschild cohomology of reduced incidence algebras 

    Sütlü, Serkan; Kaygun, Atabey; Kanuni Er, Müge (World Scientific Publishing Co. Pte Ltd., 2017-09)
    We compute the continuous Hochschild cohomology of four reduced incidence algebras: the algebra of formal power series, the algebra of exponential power series, the algebra of Eulerian power series, and the algebra of ...
  • Hopf-dihedral (co)homology and L-theory 

    Kaygun, Atabey; Sütlü, Serkan (European Mathematical Soc, 2018)
    We develop an appropriate dihedral extension of the Connes-Moscovici characteristic map for Hopf *-algebras. We then observe that one can use this extension together with the dihedral Chern character to detect non-trivial ...