Representations Of Infinite-dimensional And Braid Groups: Ergodicity, Irreducibility, And Linearity

This book offers a systematic study of one particular representation of infinite-dimensional and braid groups, with a focus on the intricate relationships between ergodicity, irreducibility, and linearity. It develops a unified analytical framework for understanding how von Neumann algebras, quasi-invariant measures, and probabilistic methods interact in the representation theory of non-locally-compact groups, where classical tools such as Haar measure are not available.

The first par…