Vol. 87, No. 1, 1980

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Hopf C-algebras and locally compact groups

Valéria Botelho de Magalhães Iório

Vol. 87 (1980), No. 1, 75–96
Abstract

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.

Mathematical Subject Classification 2000
Primary: 22D25
Secondary: 46L05, 16A24
Milestones
Received: 3 October 1978
Published: 1 March 1980
Authors
Valéria Botelho de Magalhães Iório