On the invariant uniform Roe algebra

Takeshi Katsura, Otgonbayar Uuye

研究成果: Article査読

1 被引用数 (Scopus)

抄録

Let Γ be a countable discrete group. The invariant uniform Roe algebra of G is the C*-subalgebra of its uniform Roe algebra consisting of Γ-invariant elements. We show that Γ has the approximation property if and only if Γ is exact and the invariant uniform Roe algebra has a certain slice map property. This answers a question of J. Zacharias. We also show that characterisations of several properties of Γ in terms of its reduced group C*-algebra also apply to its invariant uniform Roe algebra.

本文言語English
ページ(範囲)549-556
ページ数8
ジャーナルJournal of Operator Theory
72
2
DOI
出版ステータスPublished - 2014

ASJC Scopus subject areas

  • 代数と数論

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