Quantum isometry groups for dihedral group D _(2(2n+1))

摘要

The main goal of this paper is to extend the results of Bhowmicka on quantum isometry groups associated to the dihedral group D _6 to the case of D _(10), and then we show that QISO +(D _(10), S) is isomorphic to C *(D _(10))?C *(D _(10)) as a C *-algebra. We further show that QISO ~+(D _(2(2n+1)), S) is isomorphic to C ~*(D _(2(2n+1)))?C ~*(D _(2(2n+1))) as a C ~*-algebra, for n≥3.