67 citations · 76 across the 6 of their papers we have counts for
13 papers
Invariant metrics with nonnegative curvature on compact Lie groups
Nathan Brown, Rachel Finck, Matthew Spencer +2
We classify left invariant metrics with nonnegative curvature on SO(3) and U(2).
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…