Strongly Singular Masas in Type $II_1$ Factors

Details Strongly Singular Masas in Type $II_1$ Factors Strongly Singular Masas in Type $II_1$ Factors

2001-07-10

arxiv.org/abs/math/0107075v1

Mathematics

Operator Algebras

22 pages, latex file, Geom. and Funct. Anal, to appear

Scientific paper

In this paper we introduce and study strongly singular maximal abelian self-adjoint subalgebras of type $II_1$ factors. We show that certain elements of free groups and of non-elementary hyperbolic groups generate such masas, and these also give new examples of masas for which Popa's invariant delta is 1. We also explore the connection between Popa's invariant and strong singularity.

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