On biduals of C*-tensor products

Research output: Contribution to journalArticle

Abstract

Huruya [4] has proven that, for C*-algebras A1and A2(A1⊗ A2)** = A1**⊗ A2** for every A2if and only if A1is scattered. We strengthen this by proving that (A1⊗ A2)** = A1**⊗ A2** if and only if A1or A2is scattered. We discuss ramifications to representation theory and related questions regarding normal representations of W*-tensor products.

Original languageEnglish (US)
Pages (from-to)666-668
Number of pages3
JournalProceedings of the American Mathematical Society
Volume100
Issue number4
DOIs
StatePublished - 1987

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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