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🔗 Source: eprints.gla.ac.uk
📊 Size: 676 KB
📄 Pages: 65 pages
⬇️ Downloads: 67

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Szabo, Wu, and Zacharias introduce the concept of Rokhlin dimension for actions of residually finite groups on C∗-algebras, extending previous notions for actions of finite groups and the integers. They show that finitely generated, virtually nilpotent groups have box spaces with finite asymptotic dimension and that actions with finite Rokhlin dimension by groups with finite dimensional box spaces preserve the property of having finite nuclear dimension when passing to the crossed product C∗-algebra. The authors also establish a relation between Rokhlin dimension and amenability dimension of the action, showing that for free actions of infinite, finitely generated, nilpotent groups on finite dimensional spaces, both dimensional values are finite.

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Szabo, Wu, and Zacharias introduce the concept of Rokhlin dimension for actions of residually finite groups on C∗-algebras, extending previous notions for...

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  • File Format: PDF
  • File Size: 676 KB
  • Pages: 65
  • Language: EN
  • Total Downloads: 67
  • Last Updated: 21 hours ago

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