Exploring amenable operators of algebras
Algebras of continuous linear operators on Hilbert spaces were originally devised as a suitable mathematical framework for describing quantum mechanics. In modern mathematics, the scope has broadened due to the highly versatile nature of operator algebras. Topics of particular interest include the analysis of groups and their actions. Amenability is a finiteness property that has a large number of equivalent formulations. The EU-funded AMAREC project will conduct an analysis of amenability in terms of approximation properties in the context of abstract C*-algebras, topological dynamical systems and discrete groups. Approximation properties will serve as a bridge between these setups and will be used to systematically recover geometric information about the underlying structures.
Fields of science
Funding SchemeERC-ADG - Advanced Grant
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