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Nuclear dimension of graph C
β
^*
β
-algebras with Condition~(K)
Authors
Gregory Faurot
Christopher Schafhauser
Publication date
23 October 2023
Publisher
View
on
arXiv
Abstract
We prove that for any countable directed graph
E
E
E
with Condition~(K), the associated graph
C
β
C^*
C
β
-algebra
C
β
(
E
)
C^*(E)
C
β
(
E
)
has nuclear dimension at most
2
2
2
. Furthermore, we provide a sufficient condition producing an upper bound of
1
1
1
.Comment: 14 page
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oai:arXiv.org:2310.15073
Last time updated on 16/01/2024