Contactomorphism groups of R^{2n+1} admit a dense conjugacy class, those of R^{2n}×S^1 do not, and Sandon's spectral norm is C^0-locally bounded and extendable to the C^0-closure.
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On certain $C^0$-aspects of contactomorphism groups
Contactomorphism groups of R^{2n+1} admit a dense conjugacy class, those of R^{2n}×S^1 do not, and Sandon's spectral norm is C^0-locally bounded and extendable to the C^0-closure.