Publicationes Mathematicae Debrecen, ( ISI ), Volume (93), No (1), Year (2018-7) , Pages (125-142)

Title : ( Isometric isomorphism of homogeneous space algebras )

Authors: TAJEDIN DERIKVAND , Rajab Ali Kamyabi Gol , Mohammad Janfada ,
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Abstract

In this paper we show that two homogeneous spaces with isometrically isomorphic algebras are topologically homeomorphic by themselves. This generalizes the well-known results of J. G. Wendel for group algebras and B. E. Johnson one for measure algebras.

Keywords

, isomorphic algebras, homogeneous spaces, strongly quasi-invariant measure, homeomorphic Hausdorff spaces.