Operator-Valued Moment Series of the Generating Operator of L(F_2) Over the Commutator Group von Neumann algebra L(K)

Simple item page
dc.creatorCho, Ilwoo
dc.date2005-01-24
dc.date.accessioned2026-07-07T06:39:19Z
dc.date.available2026-07-07T06:39:19Z
dc.descriptionIn 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.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0501368
dc.identifierhttp://arxiv.org/abs/math/0501368
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101036
dc.subjectOperator Algebras
dc.subjectMathematical Physics
dc.subjectFunctional Analysis
dc.subject47 xx
dc.titleOperator-Valued Moment Series of the Generating Operator of L(F_2) Over the Commutator Group von Neumann algebra L(K)
dc.typetext

Files

Collections

arXiv