The radial masa in a free group factor is maximal injective
By J. Cameron, Junsheng Fang, Mohan Ravichandran, Stuart White. 2008
47 citations recorded by the source corpus.
The radial (or Laplacian) masa in a free group factor is the abelian von Neumann algebra generated by the sum of the generators (of the free group) and their inverses. The main result of this paper is that the radial masa is a maximal injective von Neumann subalgebra of a free group factor. We also investigate the tensor products of maximal injective algebras. Given two inclusions Bi ⊂ Mi of type I von Neumann algebras in finite von Neumann algebras such that each Bi is maximal injective in Mi, we show that the tensor product B1⊗¯B2 is maximal injective in M1⊗¯M2 provided at least one of the inclusions satisfies the asymptotic orthogonality property we establish for the radial masa. In particular, it follows that finite tensor products of generator and radial masas will be maximal injective in the corresponding tensor product of free group factors.
View Paper: https://www.semanticscholar.org/paper/8206019262b422f9ad01c6981de6ac65ff1e661d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
Citations in the corpus
- A random matrix approach to the Peterson-Thom conjecture (2020, methodology): “Many authors have used Popa’s asymptotic orthogonal property to establish maximal amenability in various cases, see [25, 65, 22, 11, 24, 8, 34, 35, 47].”