A Short Note on the Continuous Rokhlin Property and the Universal Coefficient Theorem in E-theory
2015 ◽
Vol 58
(2)
◽
pp. 374-380
◽
Keyword(s):
Group A
◽
AbstractLet G be a metrizable compact group, A a separable C*-algebra, and α:G → Aut(A) a strongly continuous action. Provided that α satisfies the continuous Rokhlin property, we show that the property of satisfying the UCT in E-theory passes from Ato the crossed product C*-algebra A⋊α G and the ûxed point algebra Aα. This extends a similar result by Gardella for KK-theory in the case of unital C*-algebras but with a shorter and less technical proof. For circle actions on separable unital C*-algebras with the continuous Rokhlin property, we establish a connection between the Etheory equivalence class of A and that of its fixed point algebra Aα.
1997 ◽
Vol 09
(07)
◽
pp. 785-819
◽
Keyword(s):
Keyword(s):
1996 ◽
Vol 60
(1)
◽
pp. 118-127
◽
Keyword(s):
2018 ◽
Vol 2018
(738)
◽
pp. 281-298
◽
2019 ◽
Vol 150
(6)
◽
pp. 3087-3096
Keyword(s):
2014 ◽
Vol 25
(02)
◽
pp. 1450010
◽
Keyword(s):