THE INVERSE HULL OF 0-LEFT CANCELLATIVE SEMIGROUPS
THE INVERSE HULL OF 0-LEFT CANCELLATIVE SEMIGROUPS
复制标题
0-左消去半群的逆壳
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
B. Steinberg
中科院分区：
文献类型：
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作者：
R. Exel;B. Steinberg
给定一个带0的半群S，在st=sr的意义上，它是左消的
Given a semigroup S with zero, which is left-cancellative in the sense that st=sr
eq 0 implies that t=r, we construct an inverse semigroup called the inverse hull of S, denoted H(S). When S admits least common multiples, in a precise sense defined below, we study the idempotent semilattice of H(S), with a focus on its spectrum. When S arises as the language semigroup for a subsift X on a finite alphabet, we discuss the relationship between H(S) and several C*-algebras associated to X appearing in the literature.