Is every action from an amenable group amenable on a unital $C^*$-algebra? - MathOverflow most recent 30 from http://mathoverflow.net2013-06-19T02:29:01Zhttp://mathoverflow.net/feeds/question/42322http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/42322/is-every-action-from-an-amenable-group-amenable-on-a-unital-c-algebraIs every action from an amenable group amenable on a unital $C^*$-algebra?m07kl2010-10-15T20:01:29Z2010-10-16T06:37:28Z
<p>Is every action from an amenable group amenable on a unital $C^*$-algebra?</p>
http://mathoverflow.net/questions/42322/is-every-action-from-an-amenable-group-amenable-on-a-unital-c-algebra/42367#42367Answer by Makoto Yamashita for Is every action from an amenable group amenable on a unital $C^*$-algebra?Makoto Yamashita2010-10-16T06:37:28Z2010-10-16T06:37:28Z<p>Yes it is. It follows from Theorem 3.3 of [1] and the fact that the trivial action of an amenable group on $\mathbb{C}$ is amenable. More modern reference is [2] (in particular Section 4.3).</p>
<p>[1] C. Anantharaman-Delaroche. Systèmes dynamiques non commutatifs et moyennabilité. Math. Ann., 279(2):297–315, 1987.</p>
<p>[2] N. P. Brown and N. Ozawa. C*-algebras and finite-dimensional approximations, volume 88 of Graduate Studies in Mathematics. American Mathematical Society, Providence, RI, 2008.</p>