Vol. 44, No. 2, 1973

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Some representations of the automorphism group of an infinite continuous homogeneous measure algebra

Arthur Larry Lieberman

Vol. 44 (1973), No. 2, 607–612

Let (X,τ,m) be an infinite continuous homogeneous measure space. Let A be the measure algebra of (X,τ,m) and G be the automorphism group of A. The canonical representation of G on the subspace of all elements of nL2(X,τ,m) of some fixed maximal symmetry type is irreducible. Two such representations are equivalent iff they correspond to the same n N and to the same partition of n.

Mathematical Subject Classification 2000
Primary: 22D99
Received: 19 April 1971
Published: 1 February 1973
Arthur Larry Lieberman