The classification of some generalised Bunce-Deddens algebras

被引：0

作者：

Rout, James ^{[1
]}

机构：

[1] Univ Wollongong, Sch Math & Appl Stat, Wollongong, NSW 2522, Australia

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2017年 / 272卷 / 09期

关键词：

Graph C*-algebra; K-theory; Classification; Generalised Bunce-Deddens algebra; GRAPHS;

D O I：

10.1016/j.fa.2017.01.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use K-theory to prove an isomorphism theorem for a large class of generalised Bunce-Deddens algebras constructed by Kribs and Solel from a directed graph E and a sequence w of positive integers. In particular, we compute the torsion-free component of the Ko-group for a class of generalised Bunce-Deddens algebras to show that supernatural numbers are a complete invariant for this class. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：3919 / 3945

页数：27

共 12 条

[1] C-STAR-ALGEBRAS GENERATED BY WEIGHTED SHIFTS
BUNCE, JW
DEDDENS, JA
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1973, 23 (03) : 257 - 271
[2] FAMILY OF SIMPLE C-STAR-ALGEBRAS RELATED TO WEIGHTED SHIFT OPERATORS
BUNCE, JW
DEDDENS, JA
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1975, 19 (01) : 13 - 24
[3] Gantmacher F. R., 2000, MATRIX THEORY, V2
[4] Glimm J.G., 1960, Trans. Amer. Math. Soc., V95, P318, DOI [10.2307/1993294, DOI 10.2307/1993294]
[5] The spectra of nonnegative integer matrices via formal power series
Kim, KH
Ormes, NS
Roush, FW
[J]. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 13 (04) : 773 - 806
[6] A class of limit algebras associated with directed graphs
Kribs, David W.
Solel, Baruch
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2007, 82 : 345 - 368
[7] KRIBS DW, 2002, NEW YORK J MATH, V8, P145
[8] Von Neumann algebras of strongly connected higher-rank graphs
Laca, Marcelo
Larsen, Nadia S.
Neshveyev, Sergey
Sims, Aidan
Webster, Samuel B. G.
[J]. MATHEMATISCHE ANNALEN, 2015, 363 (1-2) : 657 - 678
[9] Radom M., 2000, LONDON MATH SOC STUD, V49
[10] Raeburn I., 2005, C BOARD MATH SCI WAS, P11

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