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Group algebra modules. III

1970
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Transactions of the American Mathematical Society
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Let F be a locally compact group and K a Banach space. The left L1^) module K is by definition absolutely continuous under the composition * if for k e K there exist f e LX{T), k' e Kviith k =f * k'. If the locally compact Hausdorff space X is a transformation group over Y and has a measure quasi-invariant with respect to T, then L*(X) is an absolutely continuous L1(r) module-the main object we study. If Y<£X is measurable, let LY consist of all functions in L1(X) vanishing outside Y. For OsT

doi:10.1090/s0002-9947-1970-99932-7
fatcat:mqma4tbktba25m5t7qblsa3q2y