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Amenability of quasi-lattice ordered groups an Huef, Astrid

Description

Quasi-lattice ordered groups and their Toeplitz algebras were introduced by Nica in 1992. A quasi-lattice ordered group is amenable if the concrete Toeplitz subalgebra acting on $l^2(P)$ is isomorphic to the universal one. Laca-Raeburn used "controlled maps" to find sufficient conditions for amenability. Here I will discuss a more general notion of controlled map. This is joint work with Ilija Tolich and Iain Raeburn.

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