Graphs, Spectral Triples and Dirac Zeta Functions

被引：0

作者：

de Jong, Jan Willem ^{[1
]}

机构：

[1] Univ Utrecht, Dept Math, POB 80010, NL-3508 TA Utrecht, Netherlands

来源：

P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS | 2009年 / 1卷 / 04期

关键词：

finitely summable spectral triple; Dirac zeta-function; graph; group actions on limit sets; categories in noncommutative geometry;

D O I：

10.1134/S2070046609040025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

To a finite, connected, unoriented graph of Betti-number g >= 2 and valencies >= 3 we associate a finitely summable, commutative spectral triple (in the sense of Connes), whose induced zeta functions encode the graph. This gives another example where non-commutative geometry provides a rigid framework for classification.

引用

页码：286 / 296

页数：11

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