We construct quantum states for a (1+1)-dimensional gravity-matter mod
el that is also a gauge theory based on the centrally extended Poincar
e group. Explicit formulas are found, which exhibit interesting struct
ures. For example, wave functionals are gauge invariant except for a g
auge noninvariant phase factor that is the Kirillov-Kostant one-form o
n the (co)adjoint orbit of the group. However, no evidence for gravity
-matter forces is found.