Operator-Valued Moment Series of the Generating Operator of L(F_2) Over the Commutator Group von Neumann algebra L(K)
Cho, Ilwoo
arXiv, 0501368 / Harvested from arXiv
Text on arXiv
In this paper, we will consider the generating operator of the free group factor L(F_2). Then we can construct the group von Neumann algebra L(K), where K is the commutator group of F_2 and the conditional expectation E. Then (L(F_2), E) is the W*-probability space with amalgamation over L(K). In this paper, we will compute the trivial operator-valued moment series of the generating operator of L(F_2) over L(K). This computation is the good example for studying the operator-valued distribution, since the operator-valued moment series of operator-valued random variables contain algebraic and combinatorial free probability information about the opeartor-valued distributions.
Publié le : 2005-01-24
Classification:  Mathematics - Operator Algebras,  Mathematical Physics,  Mathematics - Functional Analysis,  47 xx 
@article{0501368,
     author = {Cho, Ilwoo},
     title = {Operator-Valued Moment Series of the Generating Operator of L(F\_2) Over
  the Commutator Group von Neumann algebra L(K)},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0501368}
}

Cho, Ilwoo. Operator-Valued Moment Series of the Generating Operator of L(F_2) Over
  the Commutator Group von Neumann algebra L(K). arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0501368/