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摘要
Nathanial Brown [Topological dynamical systems associated to II1-factors. Adv. Math. 227(4), 1665-1699] introduced a convex-like structure on the set of unitary equivalence classes of unital *-homomorphisms of a separable type II1 factor into R-omega (ultrapower of the hyperfinite factor). The goal of this paper is to introduce such a structure on the set of sofic representations of groups. We prove that if the commutant of a representation acts ergodicaly on the Loeb measure space then that representation is an extreme point.
- 出版日期2014-8
