Unitary Equivalence of Representations of Graph Algebras and Branching Systems

被引：11

作者：

Goncalves, D. ^{[1
]}

Royer, D. ^{[1
]}

机构：

[1] Univ Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, Brazil

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2011年 / 45卷 / 02期

关键词：

graph C*-algebras; representation theory; unitary equivalence; OCCUPATION TIME; CUNTZ ALGEBRA; OPERATORS;

D O I：

10.1007/s10688-011-0013-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that, for many countable graphs, every representation of the associated graph algebra in a separable Hilbert space is unitarily equivalent to a representation obtained via branching systems.

引用

页码：117 / 127

页数：11

共 18 条

[1] Pseudo-Cuntz algebra and recursive FP ghost system in string theory
Abe, M
Kawamura, K
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2003, 18 (04): : 607 - 625
[2] Abe M, 2002, COMMUN MATH PHYS, V228, P85, DOI 10.1007/s002200200651
[3] López-Mimbela JA, 2009, ALEA-LAT AM J PROBAB, V6, P115
[4] Limit theorems for occupation time fluctuations of branching systems I: Long-range dependence
Bojdecki, T
Gorostiza, LG
Talarczyk, A
[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2006, 116 (01) : 1 - 18
[5] Bratteli O, 1996, OPERATOR ALGEBRAS AND QUANTUM FIELD THEORY, P151
[6] The speed of a branching system of random walks in random environment
Devulder, Alexis
[J]. STATISTICS & PROBABILITY LETTERS, 2007, 77 (18) : 1712 - 1721
[7] The C*-algebras of infinite graphs
Fowler, NJ
Laca, M
Raeburn, I
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (08) : 2319 - 2327
[8] REPRESENTATION OF SPACES OF COMPACT OPERATORS AND APPLICATIONS TO APPROXIMATION PROPERTY
GIERZ, G
[J]. ARCHIV DER MATHEMATIK, 1978, 30 (06) : 622 - 628
[9] GONCALVES D, GRAPH ALGEBRAS UNPUB
[10] On the representations of Leavitt path algebras
Goncalves, Daniel
Royer, Danilo
[J]. JOURNAL OF ALGEBRA, 2011, 333 (01) : 258 - 272

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