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<p>We characterize the primal, factorial, and Glimm ideals of the Haagerup tensor product <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(V\otimes ^{h} B\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>V</mi> <msup> <mo>⊗</mo> <mi>h</mi> </msup> <mi>B</mi> </mrow> </math></EquationSource> </InlineEquation> of a TRO <i>V</i> and a <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(C^{*}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mi>C</mi> <mrow /> <mrow> <mrow /> <mo>∗</mo> </mrow> </mmultiscripts> </math></EquationSource> </InlineEquation>-algebra <i>B</i>.</p>

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Ideal spaces of the Haagerup tensor product of ternary rings of operators

  • 期刊论文

  • 发表日期：

    2025年11月9日

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  • Vandana Rajpal,
  • Arpit Kansal

摘要

We characterize the primal, factorial, and Glimm ideals of the Haagerup tensor product \(V\otimes ^{h} B\) V ⊗ h B of a TRO V and a \(C^{*}\) C ∗ -algebra B.