TOPOLOGICAL BOUNDARIES OF CONNECTED GRAPHS AND COXETER GROUPS

被引：1

作者：

Klisse, Mario ^{[1
]}

机构：

[1] Delft Univ Technol, EWI, DIAM, NL-2600 GA Delft, Netherlands

来源：

JOURNAL OF OPERATOR THEORY | 2023年 / 89卷 / 02期

关键词：

Coxeter groups; Iwahori-Hecke algebras; topological boundaries; topo-logical compactifications; graphs; C-ASTERISK-ALGEBRAS; VON-NEUMANN-ALGEBRAS; INJECTIVE ENVELOPES; POISSON FORMULA; FREE-PRODUCTS; II1; FACTORS; CENTRALIZERS; SIMPLICITY;

D O I：

10.7900/jot.2021aug20.2348

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce and study certain topological spaces associated with connected rooted graphs. These spaces reflect combinatorial and order theo-retic properties of the underlying graph and relate in the case of hyperbolic graphs to Gromov's hyperbolic compactification. They are particularly tracta-ble in the case of Cayley graphs of finite rank Coxeter systems and are inti-mately related to the corresponding Iwahori-Hecke algebras. We study this connection by considering dynamical properties of the induced action of the Coxeter group.

引用

页码：429 / 476

页数：48

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