CUNTZ SPLICE INVARIANCE FOR PURELY INFINITE GRAPH ALGEBRAS

被引：1
作者：
Bentmann, Rasmus [1 ]
机构：
[1] Georg August Univ Gottingen, Math Inst, Bunsenstr 3-5, D-37073 Gottingen, Germany
来源：
MATHEMATICA SCANDINAVICA | 2018年 / 122卷 / 01期
关键词：
C-ASTERISK-ALGEBRAS; TOPOLOGICAL MARKOV-CHAINS; KRIEGER ALGEBRAS; CLASSIFICATION; EQUIVALENCE; ZERO;
D O I：
10.7146/math.scand.a-96633
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the Cuntz Splice preserves the stable isomorphism class of a purely infinite graph C*-algebra with finitely many ideals.
引用
收藏
页码：91 / 106
页数：16
相关论文
共 50 条
  • [31] THE CUNTZ SEMIGROUP AND STABILITY OF CLOSE C*-ALGEBRAS
    Perera, Francesc
    Toms, Andrew
    White, Stuart
    Winter, Wilhelm
    ANALYSIS & PDE, 2014, 7 (04): : 929 - 952
  • [32] NON-SIMPLE PURELY INFINITE RINGS
    Aranda Pino, A.
    Goodearl, K. R.
    Perera, F.
    Siles Molina, M.
    AMERICAN JOURNAL OF MATHEMATICS, 2010, 132 (03) : 563 - 610
  • [33] Wieler solenoids, Cuntz-Pimsner algebras and K-theory
    Deeley, Robin J.
    Goffeng, Magnus
    Mesland, Bram
    Whittaker, Michael F.
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2018, 38 : 2942 - 2988
  • [34] CUNTZ-PIMSNER ALGEBRAS FOR SUBPRODUCT SYSTEMS
    Viselter, Ami
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2012, 23 (08)
  • [35] Poincare duality for Cuntz-Pimsner algebras
    Rennie, Adam
    Robertson, David
    Sims, Aidan
    ADVANCES IN MATHEMATICS, 2019, 347 : 1112 - 1172
  • [36] On the nuclearity of certain Cuntz-Pimsner algebras
    Lledo, Fernando
    Vasselli, Ezio
    MATHEMATISCHE NACHRICHTEN, 2010, 283 (05) : 752 - 757
  • [37] Classification of real rank zero, purely infinite C*-algebras with at most four primitive ideals
    Arklint, Sara E.
    Restorff, Gunnar
    Ruiz, Efren
    JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 271 (07) : 1921 - 1947
  • [38] The Flow of Weights and the Cuntz-Pimsner Algebras
    Izumi, Masaki
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2018, 357 (01) : 203 - 229
  • [39] LABELED TREES AND LOCALIZED AUTOMORPHISMS OF THE CUNTZ ALGEBRAS
    Conti, Roberto
    Szymanski, Wojciech
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 363 (11) : 5847 - 5870
  • [40] On q-tensor products of Cuntz algebras
    Kuzmin, Alexey
    Ostrovskyi, Vasyl
    Proskurin, Danylo
    Weber, Moritz
    Yakymiv, Roman
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2022, 33 (02)
12345