List of Publications (MATUI Hiroki)

• [47] Classifying Stein's groups,
  preprint. arXiv:2412.05492

• [46] (With T. Mori) Cup and cap products for cohomology and homology groups of ample groupoids,
  preprint. arXiv:2411.14906

• [45] Long exact sequences of homology groups of etale groupoids,
  Discrete Contin. Dyn. Syst. 42 (2022), 5239--5271. arXiv:2111.04013

• [44] (With M. Izumi) Poly-Z group actions on Kirchberg algebras II,
  Invent. Math. 224 (2021), 699--766. arXiv:1906.03818

• [43] (With M. Izumi) Poly-Z group actions on Kirchberg algebras I,
  Int. Math. Res. Not. IMRN. 2021, 12077--12154. arXiv:1810.05850

• [42] (With M. Izumi) A weak homotopy equivalence type result related to Kirchberg algebras,
  J. Noncommut. Geom. 14 (2020), 1325--1364. arXiv:1810.05849

• [41] Topological full groups of etale groupoids,
  Operator Algebras and Applications: The Abel Symposium 2015, 197--224, Abel Symp., 12, Springer, Berlin, 2016. arXiv:1602.00383

• [40] Etale groupoids arising from products of shifts of finite type,
  Adv. Math. 303 (2016), 502--548. arXiv:1512.01724

• [39] (With K. Matsumoto) Full groups of Cuntz-Krieger algebras and Higman-Thompson groups,
  Groups Geom. Dyn. 11 (2017), no.2, 499--531. arXiv:1409.4838

• [38] (With K. Matsumoto) Continuous orbit equivalence of topological Markov shifts and dynamical zeta functions,
  Ergodic Theory Dynam. Systems 36 (2016), 1557--1581. arXiv:1403.0719

• [37] (With S. Barlak, D. Enders, G. Szabo and W. Winter) The Rokhlin property vs. Rokhlin dimension 1 on unital Kirchberg algebras,
  J. Noncommut. Geom. 9 (2015), 1383--1393. arXiv:1312.6289

• [36] (With M. Rørdam) Universal properties of group actions on locally compact spaces,
  J. Funct. Anal. 268 (2015), 3601--3648. arXiv:1312.6027

• [35] (With K. Matsumoto) Continuous orbit equivalence of topological Markov shifts and Cuntz-Krieger algebras,
  Kyoto J. Math. 54 (2014), 863--877. arXiv:1307.1299

• [34] (With K. Matsumoto) Topological full groups of C*-algebras arising from beta-expansions,
  J. Aust. Math. Soc. 97 (2014), 257--287. arXiv:1306.1582

• [33] (With Y. Sato) Decomposition rank of UHF-absorbing C*-algebras,
  Duke Math. J. 163 (2014), 2687--2708. arXiv:1303.4371

• [32] Topological full groups of one-sided shifts of finite type,
  J. Reine Angew. Math. 705 (2015), 35--84. pdf arXiv:1210.5800

• [31] (With Y. Sato) Z-stability of crossed products by strongly outer actions II,
  Amer. J. Math. 136 (2014), 1441--1497. pdf arXiv:1205.1590

• [30] Some remarks on topological full groups of Cantor minimal systems II,
  Ergodic Theory Dynam. Systems 33 (2013), 1542--1549. pdf arXiv:1111.3134

• [29] (With Y. Sato) Strict comparison and Z-absorption of nuclear C*-algebras,
  Acta Math. 209 (2012), 179--196. pdf arXiv:1111.1637

• [28] Z^N-actions on UHF algebras of infinite type,
  J. Reine Angew. Math. 657 (2011), 225--244. pdf arXiv:1004.3103

• [27] Classification of homomorphisms into simple Z-stable C*-algebras,
  J. Funct. Anal. 260 (2011), 797--831. pdf arXiv:1002.4790

• [26] (With Y. Sato) Z-stability of crossed products by strongly outer actions,
  Comm. Math. Phys. 314 (2012), 193--228. pdf arXiv:0912.4804

• [25] Homology and topological full groups of etale groupoids on totally disconnected spaces,
  Proc. London Math. Soc. 104 (2012), 27--56. pdf arXiv:0909.1624

• [24] Z-actions on AH algebras and Z^2-actions on AF algebras,
  Comm. Math. Phys. 297 (2010), 529--551. pdf arXiv:0907.2474

• [23] (With M. Izumi) Z^2-actions on Kirchberg algebras,
  Adv. Math. 224 (2010), 355--400. pdf arXiv:0902.0194

• [22] (With T. Giordano, I. F. Putnam and C. F. Skau) Orbit equivalence for Cantor minimal Z^d-systems,
  Invent. Math. 179 (2010), 119--158. pdf arXiv:0810.3957

• [21] An absorption theorem for minimal AF equivalence relations on Cantor sets,
  J. Math. Soc. Japan 60 (2008), 1171--1185. pdf arXiv:0712.0733 MathSciNet

• [20] Classification of outer actions of Z^N on O_2,
  Adv. Math. 217 (2008), 2872--2896. pdf arXiv:0708.4074 MathSciNet

• [19] (With T. Katsura) Classification of uniformly outer actions of Z^2 on UHF algebras,
  Adv. Math. 218 (2008), 940--968. pdf arXiv:0708.4073 MathSciNet

• [18] (With T. Giordano, I. F. Putnam and C. F. Skau) The absorption theorem for affable equivalence relations,
  Ergodic Theory Dynam. Systems 28 (2008), 1509--1531. pdf arXiv:0705.3270 MathSciNet

• [17] (With M. Nagisa and M. Yamamoto) Square root closed C*-algebras,
  Kyushu J. Math. 62 (2008), 107--122. pdf MathSciNet

• [16] (With T. Giordano, I. F. Putnam and C. F. Skau) Orbit equivalence for Cantor minimal Z^2-systems,
  J. Amer. Math. Soc. 21 (2008), 863--892. pdf math.DS/0609668 MathSciNet

• [15] Torsion in coinvariants of certain Cantor minimal Z^2-systems,
  Trans. Amer. Math. Soc. 360 (2008), 4913--4928. pdf math.DS/0511454 MathSciNet

• [14] Affability of equivalence relations arising from two-dimensional substitution tilings,
  Ergodic Theory Dynam. Systems 26 (2006), 467--480. pdf math.DS/0506251 MathSciNet

• [13] A short proof of affability for certain Cantor minimal Z^2-systems,
  Canad. Math. Bull. 50 (2007), 418--426. pdf math.DS/0506250 MathSciNet

• [12] (With H. Lin) Minimal dynamical systems on the product of the Cantor set and the circle II,
  Selecta Math. 12 (2006), 199--239. pdf math.OA/0412129 MathSciNet

• [11] (With H. Lin) Minimal dynamical systems on the product of the Cantor set and the circle,
  Comm. Math. Phys. 257 (2005), 425--471. pdf math.OA/0406007 MathSciNet

• [10] Approximate conjugacy and full groups of Cantor minimal systems,
  Publ. Res. Inst. Math. Sci. 41 (2005), 695--722. pdf math.DS/0404224 MathSciNet

• [9] (With H. Lin) Minimal dynamical systems and approximate conjugacy,
  Math. Ann. 332 (2005), 795--822. pdf math.OA/0402309 MathSciNet

• [8] Some remarks on topological full groups of Cantor minimal systems,
  Internat. J. Math. 17 (2006), 231--251. pdf math.DS/0404117 MathSciNet

• [7] Some remarks on topological orbit equivalence of Cantor minimal systems,
  Internat. J. Math. 14 (2003), 55--68. pdf MathSciNet

• [6] Topological spectrum of locally compact Cantor minimal systems,
  Proc. Amer. Math. Soc. 132 (2004), 87--95. pdf MathSciNet

• [5] AF embeddability of crossed products of AT algebras by the integers and its application,
  J. Funct. Anal. 192 (2002), 562--580. pdf MathSciNet

• [4] Topological orbit equivalence of locally compact Cantor minimal systems,
  Ergodic Theory Dynam. Systems 22 (2002), 1871--1903. pdf MathSciNet

• [3] Dimension groups of topological joinings and non-coalescence of Cantor minimal systems,
  Pacific J. Math. 204 (2002), 163--176. pdf MathSciNet

• [2] Finite order automorphisms and dimension groups of Cantor minimal systems,
  J. Math. Soc. Japan 54 (2002), 135--160. pdf MathSciNet

• [1] Ext and OrderExt classes of certain automorphisms of $C^*$-algebras arising from Cantor minimal systems,
  Canad. J. Math. 53 (2001), 325--354. pdf MathSciNet

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