Vol. 45, No. 2, 1973

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Cocyles with range 1}

Keith Yale

Vol. 45 (1973), No. 2, 693–697
Abstract

Let Γ be a subgroup of the real line with the discrete topology and suppose Γ has at least two rationally independent elements. A nontrivial cocycle D whose range 1} consists only of the numbers +1 and 1 is constructed on the dual G of Γ using properties of local projective representations.

Mathematical Subject Classification 2000
Primary: 43A70
Milestones
Received: 29 February 1972
Published: 1 April 1973
Authors
Keith Yale