JournalsjncgVol. 11, No. 1pp. 367–411

Graph products of operator algebras

  • Martijn Caspers

    University of Münster, Germany
  • Pierre Fima

    Université Denis Diderot Paris 7, Paris, France
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Abstract

Graph products for groups were defined by Green in her thesis [25] as a generalization of both Cartesian and free products. In this paper we define the corresponding graph product for reduced and maximal CC^*-algebras, von Neumann algebras and quantum groups. We prove stability properties including permanence of II1_1-factors, the Haagerup property, exactness and, under suitable conditions, the property of rapid decay for quantum groups.

Cite this article

Martijn Caspers, Pierre Fima, Graph products of operator algebras. J. Noncommut. Geom. 11 (2017), no. 1, pp. 367–411

DOI 10.4171/JNCG/11-1-9