We define Hopf-C∗-algebras
and show one can associate to each locally compact group G a cocommutative
Hopf-C∗-algebras {C∗(G),d} (here C∗(G) is the C∗-algebra of G) with involution
and coidentity whose intrinsic group is isomorphic and homeomorphic to G. We also
show that if the associated Hopf-C∗-algebras are isomorphic then the groups are
isomorphic and homeomorphic.