Free Product Structure of a Graph W*-probability space

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dc.creatorCho, Ilwoo
dc.date2005-07-05
dc.date.accessioned2026-07-07T05:21:24Z
dc.date.available2026-07-07T05:21:24Z
dc.descriptionIn this paper, we observe the amalgamated free product structure of a Graph W*-probability space. In [16] and [17], we already observed the operator-valued freeness conditions on a graph W*-algebra. By using the conditions, we will consider the amalgamated free product structure of a graph W*-algebra. In particular, we can make the algebra be blocked, by so-called the loop free blocks (D_G-semicircular blocks) and non-loop blocks (R-diagonal blocks). Finally, we can see the the graph W*-algebra is the free product of edge blocks of the algebra.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/math/0507095
dc.identifierhttp://arxiv.org/abs/math/0507095
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75682
dc.subjectOperator Algebras
dc.subject47xx
dc.titleFree Product Structure of a Graph W*-probability space
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