NON-SUPRAMENABLE GROUPS ACTING ON LOCALLY COMPACT SPACES

作者：Kellerhals Julian^*; Monod Nicolas; Rordam Mikael

来源：Documenta Mathematica, 2013, 18: 1597-1626.

DOI：10.4171/dm/438

• Supramenable groups
• actions on locally compact spaces
• purely infinite C*-algebras and actions

Supramenability of groups is characterised in terms of invariant measures on locally compact spaces. This opens the door to constructing interesting crossed product C*-algebras for non-supramenable groups. In particular, stable Kirchberg algebras in the UCT class are constructed using crossed products for both amenable and non-amenable groups.

• 出版日期2013