论文标题

在任意字母上的单方面换乘代数

Algebras of one-sided subshifts over arbitrary alphabets

论文作者

Boava, Giuliano, de Castro, Gilles G., Gonçalves, Daniel, van Wyk, Daniel W.

论文摘要

我们介绍了两个与非任意字母相关的代数相关的代数。一个是Unital,另一个不一定。我们专注于统一案例,并描述了Ott-Tomforde-Willis subshifts之间的结合性,从合适的布尔代数的石头双重偶像和对角线的同构同构之间的同态性质之间的同态性别形成。为此,我们意识到与子移动相关的UNITAL代数作为类别代数和部分偏斜组环。

We introduce two algebras associated with a subshift over an arbitrary alphabet. One is unital and the other not necessarily. We focus on the unital case and describe a conjugacy between Ott-Tomforde-Willis subshifts in terms of a homeomorphism between the Stone duals of suitable Boolean algebras, and in terms of a diagonal-preserving isomorphism of the associated unital algebras. For this, we realise the unital algebra associated with a subshift as a groupoid algebra and as a partial skew group ring.

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