The paper gives necessary and sufficient conditions for infinite Reidemeister numbers under twisted conjugacy for connected solvable or compactly generated nilpotent Lie groups and proves the topological R_∞-property for upper triangular matrices, the Walnut group, SL(2,R), and GL(2,R).
Lins de Araujo and Y
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Twisted conjugacy classes in Lie groups
The paper gives necessary and sufficient conditions for infinite Reidemeister numbers under twisted conjugacy for connected solvable or compactly generated nilpotent Lie groups and proves the topological R_∞-property for upper triangular matrices, the Walnut group, SL(2,R), and GL(2,R).