A CONTINUUM OF C*-NORMS ON B(H) circle times (H) AND RELATED TENSOR PRODUCTS uri icon

abstract

  • AbstractFor any pair M, N of von Neumann algebras such that the algebraic tensor product M N admits more than one C*-norm, the cardinal of the set of C*-norms is at least 20. Moreover, there is a family with cardinality 20 of injective tensor product functors for C*-algebras in Kirchberg's sense. Let ${mathbb B}$=nMn. We also show that, for any non-nuclear von Neumann algebra M ${mathbb B}$(2), the set of C*-norms on ${mathbb B}$ M has cardinality equal to 220.

published proceedings

  • GLASGOW MATHEMATICAL JOURNAL

author list (cited authors)

  • Ozawa, N., & Pisier, G.

citation count

  • 8

complete list of authors

  • Ozawa, Narutaka||Pisier, Gilles

publication date

  • May 2016