Median Spaces and Spaces with Measured Walls
نویسندگان
چکیده
We prove the existence of a close connection between spaces with measured walls and median metric spaces. In particular we show that some spaces with measured walls (e.g. real hyperbolic spaces) embed into median metric spaces which are at finite Hausdorff distance from their embedded image. We also relate properties (T) and Haagerup (a-T-menability) to actions on median spaces and on spaces with measured walls. This allows us to explore the relationship between the classical properties (T) and Haagerup and their versions concerning affine isometric actions on L-spaces.
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Kazhdan and Haagerup Properties from the Median Viewpoint
We prove the existence of a close connection between spaces with measured walls and median metric spaces. We then relate properties (T) and Haagerup (a-T-menability) to actions on median spaces and on spaces with measured walls. This allows us to explore the relationship between the classical properties (T) and Haagerup and their versions using affine isometric actions on L-spaces. It also allo...
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