OPERATOR ALGEBRAS OF HIGHER RANK NUMERICAL SEMIGROUPS

被引：0

作者：

Kakariadis, Evgenios T. A. ^{[1
]}

Katsoulis, Elias G. ^{[2
]}

Li, Xin ^{[3
]}

机构：

[1] Newcastle Univ, Sch Math Stat & Phys, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England

[2] East Carolina Univ, Dept Math, Greenville, NC 27858 USA

[3] Univ Glasgow, Sch Math & Stat, Univ Pl, Glasgow G12 8QQ, Lanark, Scotland

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 10期

关键词：

Numerical semigroups; C*-envelope; rigidity; K-THEORY; CROSSED-PRODUCTS; REPRESENTATIONS;

D O I：

10.1090/proc/15096

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A higher rank numerical semigroup is a positive cone whose seminormalization is isomorphic to the free abelian semigroup. The corresponding nonselfadjoint semigroup algebras are known to provide examples that answer Arveson's Dilation Problem in the negative. Here we show that these algebras share the polydisc as the character space in a canonical way. We subsequently use this feature in order to identify higher rank numerical semigroups from the corresponding nonselfadjoint algebras.

引用

页码：4423 / 4433

页数：11

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