Certain properties for crossed products by automorphisms with a certain non-simple tracial Rokhlin property
2012 ◽
Vol 33
(5)
◽
pp. 1391-1400
◽
Keyword(s):
AbstractLet $\Omega $ be a class of unital $C^*$-algebras. Then any simple unital $C^*$-algebra $A\in \mathrm {TA}(\mathrm {TA}\Omega )$ is a $\mathrm {TA}\Omega $ algebra. Let $A\in \mathrm {TA}\Omega $ be an infinite-dimensional $\alpha $-simple unital $C^*$-algebra with the property SP. Suppose that $\alpha :G\to \mathrm {Aut}(A)$ is an action of a finite group $G$ on $A$ which has a certain non-simple tracial Rokhlin property. Then the crossed product algebra $C^*(G,A,\alpha )$ belongs to $\mathrm {TA}\Omega $.
Keyword(s):
Keyword(s):
2018 ◽
Vol 70
(2)
◽
pp. 400-425
◽
Keyword(s):
1991 ◽
Vol 02
(04)
◽
pp. 457-476
◽
2001 ◽
Vol 33
(5)
◽
pp. 520-526
◽
2000 ◽
Vol 129
(7)
◽
pp. 2031-2038
2011 ◽
Vol 22
(04)
◽
pp. 577-592
◽
Keyword(s):
2007 ◽
Vol 27
(6)
◽
pp. 1737-1771
◽