uniform roe algebra
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2021 ◽  
Vol 499 (1) ◽  
pp. 124996
Author(s):  
Fernando Lledó ◽  
Diego Martínez


Author(s):  
Tsuyoshi Kato ◽  
Daisuke Kishimoto ◽  
Mitsunobu Tsutaya




2019 ◽  
Vol 11 (01) ◽  
pp. 119-133 ◽  
Author(s):  
Xiaoman Chen ◽  
Baojie Jiang ◽  
Anyi Zhou

In this paper, for a discrete group with property (RD), we construct a smooth subalgebra of a certain subalgebra in the (uniform) Roe algebra of this group. And using Lafforgue’s [Formula: see text]-Theory, under certain conditions, we prove that this certain subalgebra and the (uniform) Roe algebra have the same [Formula: see text]-theory groups. Moreover, our smooth subalgebra and the (uniform) Roe algebra have the same [Formula: see text]-theory groups. Our result can be viewed as a smooth subalgebra construction of the (uniform) Roe algebra, which is, as far as we know, the first occurrence in literature.



2017 ◽  
Vol 60 (2) ◽  
pp. 285-288 ◽  
Author(s):  
EDUARDO SCARPARO

AbstractWe show that an action of a group on a set X is locally finite if and only if X is not equidecomposable with a proper subset of itself. As a consequence, a group is locally finite if and only if its uniform Roe algebra is finite.



2014 ◽  
Vol 72 (2) ◽  
pp. 549-556 ◽  
Author(s):  
Takeshi Katsura ◽  
Otgonbayar Uuye


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