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Søren Eilers' Research Homepage


Publication list

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1 A complete invariant for AD algebras with real rank zero and bounded torsion in K1.
Journal of Functional Analysis 139 (1996), 325-348.
2 Künneth splittings and classification of C*-algebras with finitely many ideals.
Fields Institute Communication Series volume 13, Operator Algebras and their Applications, American Mathematical Society, 1997.
3 Morita equivalence for generalized crossed products.
With B. Abadie and R. Exel.
Transactions of the American Mathematical Society 350 (1998), 3043-3054.
4 Quasidiagonal extensions and AF algebras.
With T.A. Loring and G.K. Pedersen.
Mathematische Annalen 311 (1998), 233-249.
5 Stability of anticommutation relations. An application of noncommutative CW complexes.
With T.A. Loring and G.K. Pedersen.
Journal für die reine und angewandte Mathematik 499 (1998), 101-143.
6 Compressing coefficients while preserving ideals in the K-theory for C*-algebras.
With M. Dadarlat.
K-Theory 14 (1998), 281-304.
7 Noncommutative end theory.
With C.A. Akemann.
Pacific Journal of Mathematics, 185 (1998), 47-88
8 Approximate homogeneity is not a local property.
With M. Dadarlat.
Journal für die reine und angewandte Mathematik 507 (1999), 1-14.
9 Fragility of subhomogeneous C*-algebras with one-dimensional spectrum.
With T.A. Loring and G.K. Pedersen.
Bulletin of the London Mathematical Society 31 (1999), 337-344.
10 Connectivity and components for C*-algebras.
Mathematica Scandinavica 84 (1999), 119-136.
11 Computing contingencies for stable relations.
With T.A. Loring.
International Journal of Mathematics 10 (1999), 301-326.
12 The Bockstein map is necessary.
With M. Dadarlat.
Canadian Bulletin of Mathematics 42 (1999), 274-284.
13 Morphisms of extensions of C*-algebras: Pushing forward the Busby invariant.
With T.A. Loring and G.K. Pedersen.
Advances of Mathematics 147 (1999), 74-109.
14 Asymptotic unitary equivalence in KK-theory.
With M. Dadarlat.
K-Theory 23 (2001), 305-322.
15 Approximate homogeneity of C*-algebras with finitely many ideals.
Mathematical Proceedings of the Royal Irish Society 101A (2001), 149-162.
16 Finite dimensional representations of the soft torus.
With R. Exel.
Proceedings of the American Mathematical Society 130 (2002), 727-731
17 On the classification of nuclear C*-algebras.
With M. Dadarlat.
Proceedings of the London Mathematical Society, 85 (2002), 168-210.
18 Regularity of projections revisited.
With C.A. Akemann
Journal of Operator Theory 48 (2002), 515-534.
19Riesz properties of K-groups associated to C*-algebras of minimal ranks.
With G.A. Elliott.
Comptes Rendus Mathématiques de l'Académie des Sciences (La Société Royale du Canada) 25 (2003), 108-13.
20Augmenting dimension group invariants for substitutional dynamical systems.
With T.M. Carlsen.
Ergodic theory and Dynamical Systems 24 (2004), 1015-1039.
21 Matsumoto K-groups associated to certain shift spaces.
With T.M. Carlsen.
Documenta Mathematica 9 (2004), 639-671.
22C*-algebras associated to dynamical systems
Discrete and continuous dynamical systems 15 (2006) 177-192.
23 Ordered K-groups associated to substitutional dynamics.
With T.M. Carlsen.
Journal of Functional Analysis 38 (2006) 99-117.
24On Rørdam's classification of certain C*-algebras with one non-trivial ideal
With G. Restorff
In "Operator algebras: The Abel symposium 2004", Abel Symposia 1 (2006), 87-96
25Dimension groups associated to beta-expansions
With T. Bates and T.M. Carlsen
Mathematica Scandinavica 100 (2007), 198-208.
26 A graph approach to computing nondeterminacy in substitutional dynamical systems.
With T.M. Carlsen.
RAIRO - Theoretical Informatics and Applications 41 (2007) 285-306.
27 Inductive limits of K-theoretic complexes with torsion coefficients
With A. Toms
Journal of K-Theory 1 (2008), 145-168.
28Classification of extensions of classifiable C*-algebras
With G. Restorff and E. Ruiz
Advances of Mathematics 222 (2009) 2153-2172.
29 On the classification of nonsimple graph C*-algebras
With M. Tomforde.
Mathematische Annalen 346 (2010), 393-418.
30 On graph C*-algebras with a linear ideal lattice
With G. Restorff and E. Ruiz
Bulletin of the Malaysian Mathematical Sciences Society (2) 33 (2010), 233-241.
31 Enumeration of pyramids of one-dimensional pieces of arbitrary fixed integer length.
With B. Durhuus.
Discrete Mathematics and Computer Science proc. AM (2010), 145-160.
32Nonsplitting of Bonkat's Universal Coefficient Theorem
With G. Restorff and E. Ruiz.
Canadian Mathematical Bulletin 54 (2011), 68-81.
33On the asymptotic growth of LEGO structures
With M. Abrahamsen
Experimental Mathematics 20 (2011) 145-152.
34Reducibility of covers of AFT shifts
With T. Bates and D. Pask.
Israel Journal of Mathematics 185 (2011), 207-234 .
35 On some new invariants for strong shift equivalence for shifts of finite type
With I. Kiming.
Journal of Number Theory 132 (2012), 502-510.
36 Index maps in the K-theory of graph algebras
With T.M. Carlsen and M. Tomforde.
Journal of K-theory 9(2012), 385-406.
37 Amplified graph C*-algebras
With E. Ruiz and A. Sørensen.
Münster Journal of Mathematics 5 (2012), 1211-150.
38 Classifying C*-algebras with both finite and infinite subquotients
With G. Restorff and E. Ruiz.
Journal of Functional Analysis 265 (2013), 449-468.
39 Classification of graph C*-algebras with no more than four primitive ideals
With G. Restorff and E. Ruiz
Operator Algebra and Dynamics, Springer Proceedings in Mathematics and Statistics 58 (2013) 89-129
40 The ordered K-theory of a full extension
With G. Restorff and E. Ruiz
Canadian Journal of Mathematics 66 (2014), 596-625.
41 Identifying AF-algebras that are graph C*-algebras
With T. Katsura, E. Ruiz and M. Tomforde.
Journal of Functional Analysis 266 (2014), 3968-3996.
42On the entropy of LEGO
With B. Durhuus
Journal of Applied Mathematics and Computing 45 (2014), 433-448.
43 The ranges of K-theoretic invariants for nonsimple graph algebras
With T. Katsura, M. Tomforde and J. West.
Transactions of the American Mathematical Society 368 (2016), 3811-3847.
44 Corrigendum to "Classifying C*-algebras with both finite and infinite subquotients" [J. Funct. Anal. 265 (2013) 449-468]
With G. Restorff and E. Ruiz
Journal of Functional Analysis 270 (2016), 854-859.
45 The LEGO counting problem.
American Mathematical Monthly 123 (2016), 415-426.
46 The isomorphism problem for semigroup C*-algebras of right-angled Artin monoids
With X. Li and E. Ruiz.
Documenta Mathematica 21 (2016), 309-343.
47 Ideal-related K-theory with coefficients
With G. Restorff and E. Ruiz
Houston Journal of Mathematics 43 (2017), 403-458.
48 Semiprojectivity and properly infinite projections in graph C*-algebras
With T. Katsura
Advances in Mathematics 317 (2017), 108-156.
49 Flow equivalence and isotopy for subshifts
With M.M. Boyle and T.M. Carlsen.
Dynamical Systems 32 (2017), 305-325.
50Invariance of the Cuntz splice
With G. Restorff, E. Ruiz, and A.P.W. Sørensen
Mathematische Annalen 369 (2017), 1061-1080.
51 Flow equivalence of sofic shifts
With M.M. Boyle and T.M. Carlsen.
Israel Journal of Mathematics 225 (2018), 111-146.
52 Filtered K-theory for graph algebras
With G. Restorff, E. Ruiz and A.P.W. Sørensen.
In: Wood D., de Gier J., Praeger C., Tao T. (eds) 2016 MATRIX Annals, pp. 229-249. MATRIX Book Series, vol 1. Springer, 2018.
53 Geometric classification of graph C*-algebras over finite graphs
With G. Restorff, E. Ruiz and A.P.W. Sørensen.
Canadian Journal of Mathematics 70 (2018), 294-353.
54 Automorphisms of Cuntz-Krieger algebras
With G. Restorff and E. Ruiz.
Journal of Noncommutative Geometry 12 (2018) 217-254.
55 A dynamical characterization of diagonal preserving *-isomorphisms of graph C*-algebras
With S.E. Arklint and E. Ruiz.
Ergodic Theory and Dynamical Systems 38 (2018), 2401-2421.
56Flow equivalence and orbit equivalence for shifts of finite type and isomorphism of their groupoids
With T.M. Carlsen, E. Ortega, and G. Restorff
Journal of Mathematical Analysis and its Applications 469 (2019), 1088-1110.
57Flow equivalence of G-SFTs
With M. Boyle and T.M. Carlsen
Transactions of the American Mathematical Society 373 (2020), 2591-2657.
59The extension problem for graph C*-algebras
With J. Gabe, T. Katsura, E. Euiz and M. Tomforde
Annals of K-theory 5 (2020), 295-315.
57C*-stability of discrete groups
With T. Shulman and A.P.W. Sørensen
Advances in Mathematics 373 (2020), 107324.
60Classification of irreversible and reversible Pimsner operator algebras
With S. Geffen and A. Dor-On
Compositio Mathematica 156 (2020), 2510-2535.
61The complete classification of unital graph C*-algebras: Geometric and strong
With G. Restorff, E. Ruiz, and A.P.W. Sørensen
Duke Mathematical Journal, 170 (2021), 2421-2517.
62 Strong classification of extensions of classifiable C*-algebras
With With G. Restorff and E. Ruiz
Bulletin of the Korean Mathematical Society 59 (2022), 567-608.
63Amplified graph C*-algebras II: reconstruction
With E. Ruiz and A. Sims
Proceedings of the American Mathematical Society, Series B 9 (2022), 297-310.
64Geometric classification of isomorphism of unital graph C*-algebras
With S.E. Arklint and E. Ruiz
New York Journal of Mathematics 28 (2022), 927-957.
65 Conjugacy of local homeomorphisms via groupoids and C*-algebras
With B. Armstrong, K. Brix and T.M. Carlsen
To appear in Ergodic Theory and Dynamical Systems.
66 Shift equivalences through the lens of Cuntz-Krieger algebras
T.M. Carlsen and A. Dor-On
To appear in Analysis & PDE

Preprints (not yet accepted/submitted)

1908.03714Refined moves for structure-preserving isomorphism of graph C*-algebras
With E. Ruiz

Søren Eilers