Embedding covariance algebras of flows into $AF$-algebras
1999 ◽
Vol 19
(3)
◽
pp. 723-740
◽
Keyword(s):
Suppose that $\{\alpha_t\}_{t\in \mathbb{R}}$ is a flow on the compact metrizable space $X$. We prove that a necessary and sufficient condition for the existence of an embedding (injective $*$-homomorphism) of the crossed product $C(X)\rtimes_\alpha \mathbb{R}$ into some $AF$-algebra is that every point of $X$ be chain recurrent in the sense of Conley.
1978 ◽
Vol 26
(2)
◽
pp. 251-256
◽
2010 ◽
Vol 88
(3)
◽
pp. 363-383
1968 ◽
Vol 20
◽
pp. 795-804
◽
2017 ◽
Vol E100.A
(12)
◽
pp. 2764-2775
◽