The Moments of the Block Operators in a Group von Neumann Algebra

2005/05/02 by Ilwoo Cho, Cho, Ilwoo
Mathematics · #Advanced Operator Algebra Research #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics #math.CO #math.OA #msc:47

paper · pdf · doi:10.48550/arxiv.math/0505029

15 pages

arxiv created 2005/05/02 · arxiv updated 2009/12/01

Abstract

In this paper, we will compute the moments of the block operators, induced by the generators of the group, in a group von Neumann algebra and we will observe the identically distributedness.

Citations

• Graph W*-probability Theory

Related

• Operator-Valued Moment Series of the Generating Operator of L(F₂) Over the Commutator Group von Neumann algebra L(K)
• The Moment of an Operator in the Free Group Factor L(F_N)
• Moments of the Generating Operator of Two Copies of L(F₂)'s over L(F₁)
• Classification and rigidity for von Neumann algebras
• The Trivial L(F₁)-Valued moment Series of the Generating Operator of L(F₂)