This classification is essentially a variant of Maharam's classification theorem for separable measure algebras.
2.
It may seem that every homomorphism of measure algebras has to correspond to some measure preserving map, but it is not so.
3.
Equivalence classes of measurable subsets of a probability space form a normed complete Boolean algebra called the " measure algebra " ( or metric structure ).
4.
The space B ( \ mathit { G } ) of these functions is an algebra under pointwise multiplication is isomorphic to the measure algebra M ( \ widehat { \ mathit { G } } ).
5.
"' Udai Bhan Tewari "'is an Indian Mathematician currently Emeritus Professor at IITK . His research work includes contribution in the field of Group algebra and measure algebra of locally compact group.