67 citations · 76 across the 6 of their papers we have counts for
11 papers · 1 filter
Finite Free Entropy and Free Group Factors
Nathanial P. Brown
We show the existence of noncommutative random variables with finite free entropy but which do not generate a free group factor.
Excision and a Theorem of Popa
Nathanial P. Brown
We give an elementary C*-algebraic proof of a result of Sorin Popa which is of fundamental importance to Elliott's Classification Program.
Connes' Embedding Problem and Lance's WEP
Nathanial P. Brown
A II_1 factor embeds into the ultraproduct of the hyperfinite II_1 factor if and only if it satisfies the W*-analogue of Lance's weak expectation property. This note gives a self c…
Invariant means and finite representation theory of C*-algebras
Nathanial P. Brown
Various subsets of the tracial state space of a unital C*-algebra are studied. The largest of these subsets has a natural interpretation as the space of invariant means. II_1-facto…
Popa algebras in free group factors
Nathanial P. Brown, Kenneth J. Dykema
For each 1<s<\infty, a Popa algebra A_s is constructed that embeds as a weakly dense C*-subalgebra of the interpolated free group factor L(F_s). Certain approximation properties fo…
Tracial invariants, classification and II_1 factor representations of Popa algebras
Nathanial P. Brown
Using various finite dimensional approximation properties, four convex subsets of the tracial space of a unital C*-algebra are defined. Applications of these tracial invariants inc…