The Moment of an Operator in the Free Group Factor L(F_N)

2004/12/08 by Ilwoo Cho, Cho, Ilwoo
Mathematics · #47xx #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #math.FA #math.OA #msc:47xx

paper · pdf · doi:10.48550/arxiv.math/0412170

10 pages

arxiv created 2005/03/05 · arxiv updated 2009/12/01

Abstract

In this paper, we will compuet the moment of the operator which is the product of the generating operator and the word operator. The word operator means the operator which is the total sum of the word with length n. We constructed a new recurrence relation and by using this recurrence relation, we can compute the first moment of the operator.

Related

• Moment Series and R-transform of the Generating Operator of L(F_N)
• The Trivial L(F₁)-Valued moment Series of the Generating Operator of L(F₂)
• Moments of the Generating Operator of Two Copies of L(F₂)'s over L(F₁)
• Operator-Valued Moment Series of the Generating Operator of L(F₂) Over the Commutator Group von Neumann algebra L(K)
• The Moments of the Block Operators in a Group von Neumann Algebra