C*-algebraic quantum Gromov-Hausdorff distance

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dc.creatorLi, Hanfeng
dc.date2003-11-28
dc.date2004-11-14
dc.date.accessioned2026-07-07T05:03:24Z
dc.date.available2026-07-07T05:03:24Z
dc.descriptionWe introduce a new quantum Gromov-Hausdorff distance between C*-algebraic compact quantum metric spaces. Because it is able to distinguish algebraic structures, this new distance fixes a weakness of Rieffel's quantum distance. We show that this new quantum distance has properties analogous to the basic properties of the classical Gromov-Hausdorff distance, and we give criteria for when a parameterized family of C*-algebraic compact quantum metric spaces is continuous with respect to this new distance.
dc.description27 pages. Small modifications
dc.identifierhttps://arxiv.org/abs/math/0312003
dc.identifierhttp://arxiv.org/abs/math/0312003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69402
dc.subjectOperator Algebras
dc.subjectQuantum Algebra
dc.subjectPrimary 46L87; Secondary 53C23, 58B34
dc.titleC*-algebraic quantum Gromov-Hausdorff distance
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