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5 papers · 1 filter
A planar algebra construction of the Haagerup subfactor
Emily Peters
Most known examples of subfactors occur in families, coming from algebraic objects such as groups, quantum groups and rational conformal field theories. The Haagerup subfactor is t…
Some Examples of Blackadar and Kirchberg's MF Algebras
Don Hadwin, Junhao Shen
In the paper, we provide some examples of MF algebras by considering minimal or maximal tensor products of MF algebras and crossed products of MF algebras by finite groups or an in…
Tracial gauge norms on finite von Neumann algebras satisfying the weak Dixmier property
Junsheng Fang, Don Hadwin, Eric Nordgren +1
In this paper we set up a representation theorem for tracial gauge norms on finite von Neumann algebras satisfying the weak Dixmier property in terms of Ky Fan norms. Examples of t…
On Transitive Algebras Containing a Standard Finite von Neumann Subalgebra
Junsheng Fang, Don Hadwin, Mohan Ravichandran
Let $\M$ be a finite von Neumann algebra acting on a Hilbert space $\H$ and be a transitive algebra containing $\M'$. In this paper we prove that if is 2-fold transitive, t…
On maximal injective subalgebras of tensor products of von Neumann algebras
Junsheng Fang
Let M_i be a von Neumann algebra, and B_i be a maximal injective von Neumann subalgebra of M_i, i=1,2. If M_1 has separable predual and the center of B_1 is atomic, e.g., B_1 is a…