Isomorphisms of hypergroups

Bloom, W.R. and Walter, M.E. (1992) Isomorphisms of hypergroups. Journal of the Australian Mathematical Society (Series A), 52 (3). pp. 383-400.

Abstract

Let K1, K2 be locally compact hypergroups. It is shown that every isometric isomorphism between their measure algebras restricts to an isometric isomorphism between their L1-algebras. This result is used to relate isometries of the measure algebras to homeomorphisms of the underlying locally compact spaces.

Item Type:	Journal Article
Murdoch Affiliation(s):	School of Mathematical and Physical Sciences
Publisher:	Cambridge University Press
Copyright:	© 1992 Australian Mathematical Society
URI:	http://researchrepository.murdoch.edu.au/id/eprint/31343

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