Representations of Inverse Semigroups and Pre-grading C*-Algebra

被引:0
作者
B. Tabatabaie Shourijeh
机构
[1] College of Sciences,Department of Mathematics
[2] Shiraz University,undefined
来源
Iranian Journal of Science and Technology, Transactions A: Science | 2016年 / 40卷
关键词
Partial representation; Partial homomorphism; -algebra; Grading ; -algebra;
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摘要
In this work, we present a definition of an inverse semigroup, Pr(S), which is associated to an inverse semigroup S. Also, we show the existence of a kind of correspondence between partial representations of S and representations of Pr(S) on a Hilbert space. Some results of graded C*-algebras over a group are extended to pre-grading C*-algebras over inverse semigroups.
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页码:219 / 224
页数:5
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