Abstract
In this paper, it is shown that the regular representation and regular covariant representation of the crossed products A ×α G correspond to the twisted multiplicative unitary operators, where A is a Woronowicz C*-algebra acted upon by a discrete group G. Meanwhile, it is also shown that the regular covariant C*-algebra is the Woronowicz C*-algebra which corresponds to a multiplicative unitary. Finally, an explicit description of the multiplicative unitary operator for C(SUq(2)) × α ℤ is given in terms of those of the Woronowicz C*-algebra C(SUq(2)) and the discrete group G.
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