REPRESENTATIONS OF CUNTZ ALGEBRAS ASSOCIATED TO RANDOM WALKS ON GRAPHS

被引：2

作者：

Christoffersen, Nicholas J. ^{[1
]}

Dutkay, Dorin Ervin ^{[2
]}

机构：

[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

[2] Univ Cent Florida, Dept Math, 4000 Cent Florida Blvd,POB 161364, Orlando, FL 32816 USA

来源：

JOURNAL OF OPERATOR THEORY | 2022年 / 88卷 / 01期

关键词：

Cuntz algebras; random walks; ISOMETRIC DILATIONS; FOURIER-SERIES; WAVELETS; FRACTALS; ENDOMORPHISMS; SUBSPACES; FRAMES; STATES;

D O I：

10.7900/jot.2020dec07.2326

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Motivated by the harmonic analysis of selfaffine measures, we introduce a class of representations of the Cuntz algebra associated to random walks on graphs. The representations are constructed using the dilation theory of row coisometries. We study these representations, their commutant and the intertwining operators.

引用

页码：141 / 172

页数：32

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