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This research focuses on finite dimensional approximation in mathematics, exploring its connections to graph theory, group theory, and operator algebras. The goal is to develop a comprehensive theory that addresses various mathematical problems related to infinite structures.
Finite dimensional approximation phenomenon is laying at the crossroads of graph theory, group theory and operator algebras.
It helps to understand constant-time algorithms, von Neumann factors and several interesting conjectures on discrete groups.In a nutshell, finite dimensional approximation means that certain infinite structures, groups, graphs, measurable equivalence relations or algebras can be regarded as limits of finite or finite dimensional objects.Using the limit notions one can prov…
ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE
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