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Søren Eilers' Research Homepage

Publication list

Click on the publication's number to get further information and more links.

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 Morita equivalence for generalized crossed products.
With B. Abadie and R. Exel.
Transactions of the American Mathematical Society 350 (1998), 3043-3054.
3 Connectivity and components for C*-algebras.
Mathematica Scandinavica 84 (1999), 119-136.
4 Noncommutative end theory.
With C.A. Akemann.
Pacific Journal of Mathematics, 185 (1998), 47-88
5 Invariants for AD algebras.
Ph.D. thesis. J.H. Schultz Information a/s, Copenhagen 1996.
6 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.
7 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.
8 Compressing coefficients while preserving ideals in the K-theory for C*-algebras.
With M. Dadarlat.
K-Theory 14 (1998), 281-304.
9 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.

10 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.
11 Quasidiagonal extensions and AF algebras.
With T.A. Loring and G.K. Pedersen.
Mathematische Annalen 311 (1998), 233-249.
12 Approximate homogeneity is not a local property.
With M. Dadarlat.
Journal für die reine und angewandte Mathematik 507 (1999), 1-14.
13 The Bockstein map is necessary.
With M. Dadarlat.
Canadian Bulletin of Mathematics 42 (1999), 274-284.
14 Computing contingencies for stable relations.
With T.A. Loring.
International Journal of Mathematics 10 (1999), 301-326.
15 On the classification of nuclear C*-algebras.
With M. Dadarlat.
Proceedings of the London Mathematical Society, 85 (2002), 168-210.
16 Finite dimensional representations of the soft torus.
With R. Exel.
Proceedings of the American Mathematical Society 130 (2002), 727-731
17 Approximate homogeneity of C*-algebras with finitely many ideals.
Mathematical Proceedings of the Royal Irish Society 101A (2001), 149-162.
18 Asymptotic unitary equivalence in KK-theory.
With M. Dadarlat.
K-Theory 23 (2001), 305-322.
19 Regularity of projections revisited.
With C.A. Akemann
Journal of Operator Theory 48 (2002), 515-534.
20 Riesz 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.
21 Augmenting dimension group invariants for substitutional dynamical systems.
With T.M. Carlsen.
Ergodic theory and Dynamical Systems 24 (2004), 1015-1039.
22 A graph approach to computing nondeterminacy in substitutional dynamical systems.
With T.M. Carlsen.
RAIRO - Theoretical Informatics and Applications 41 (2007) 285-306.
23 Matsumoto K-groups associated to certain shift spaces.
With T.M. Carlsen.
Documenta Mathematica 9 (2004), 639-671.
24 Ordered K-groups associated to substitutional dynamics.
With T.M. Carlsen.
Journal of Functional Analysis 38 (2006) 99-117.
25 Inductive Limits of K-theoretic Complexes with Torsion Coefficients
With A. Toms
Journal of K-Theory 1 (2008), 145-168.
26 C*-algebras associated to dynamical systems
Discrete and continuous dynamical systems 15 (2006) 177-192.
27 On 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
28 On the entropy of LEGO
With B. Durhuus
Submitted for publication.
29 Dimension groups associated to beta-expansions
With T. Bates and T.M. Carlsen
Mathematica Scandinavica 100 (2007), 198-208.
30 Classification of extensions of classifiable C*-algebras
With G. Restorff and E. Ruiz
Advances of Mathematics 222 (2009) 2153-2172.
31 On the asymptotic growth of LEGO structures
With M. Abrahamsen
Experimental Mathematics 20 (2011) 145-152.
32 Erratum for "Augmenting dimension group invariants for substitutional dynamical systems".
With T.M. Carlsen.
Submitted for publication.
33 Nonsplitting of Bonkat's Universal Coefficient Theorem
With G. Restorff and E. Ruiz.
Canadian Mathematical Bulletin 54 (2011), 68-81.
34 Reducibility 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 On the classification of nonsimple graph C*-algebras
With M. Tomforde.
Mathematische Annalen 346 (2010), 393-418.
37 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.
38 Index maps in the K-theory of graph algebras
With T.M. Carlsen and M. Tomforde.
Journal of K-theory 9(2012), 385-406.
39 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.
40 Classifying C*-algebras with both finite and infinite subquotients
With G. Restorff and E. Ruiz.
To appear in Journal of Functional Analysis, DOI: 10.1016/j.jfa.2013.05.006

41 Symbolic Dynamics
With M.-P. Béal, J. Berstel, and D. Perrin.
Chapter for "Handbook in Automata Theory".
Preprint.
42 The ordered K-theory of a full extension
With G. Restorff and E. Ruiz
To appear in Canadian Journal of Mathematics, DOI: 10.4153/CJM-2013-015-7.
43 Amplified graph C*-algebras
With E. Ruiz and A. Sørensen.
Münster Journal of Mathematics 5 (2012), 1211-150.

Research data bases

Look me up in MathSciNet here.
Look me up in The Danish Research Database here.

Other publications

-1: Connectivity and Ends in the Theory of C*-Algebras.
Master's thesis.
-2: Notes on End Theory.
Expository. Preprint.
-3: On Connectivity and Components in the Theory of C*-Algebras.
Preprint.
-4: Multiplier Realization and Extensions of C*-Algebras.
With T.A. Loring and G.K. Pedersen.
Preprint.
-5: Efficient counting of LEGO structures
With M. Abrahamsen
Technical report.

Søren Eilers

Last modified: Sat Jun 17 00:44:45 CEST 2006

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	Morita equivalence for generalized crossed products. With B. Abadie and R. Exel. Transactions of the American Mathematical Society 350 (1998), 3043-3054.
3	*Connectivity and components for C-algebras*. Mathematica Scandinavica* 84 (1999), 119-136.
4	Noncommutative end theory. With C.A. Akemann. Pacific Journal of Mathematics, 185 (1998), 47-88
5	Invariants for AD algebras. Ph.D. thesis. J.H. Schultz Information a/s, Copenhagen 1996.
6	*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.
7	*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.
8	*Compressing coefficients while preserving ideals in the K-theory for C-algebras*. With M. Dadarlat. K-Theory* 14 (1998), 281-304.
9	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.

10	*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.

11	Quasidiagonal extensions and AF algebras. With T.A. Loring and G.K. Pedersen. Mathematische Annalen 311 (1998), 233-249.
12	Approximate homogeneity is not a local property. With M. Dadarlat. Journal für die reine und angewandte Mathematik 507 (1999), 1-14.
13	The Bockstein map is necessary. With M. Dadarlat. Canadian Bulletin of Mathematics 42 (1999), 274-284.
14	Computing contingencies for stable relations. With T.A. Loring. International Journal of Mathematics 10 (1999), 301-326.
15	*On the classification of nuclear C-algebras*. With M. Dadarlat. Proceedings of the London Mathematical Society*, 85 (2002), 168-210.
16	Finite dimensional representations of the soft torus. With R. Exel. Proceedings of the American Mathematical Society 130 (2002), 727-731
17	*Approximate homogeneity of C-algebras with finitely many ideals*. Mathematical Proceedings of the Royal Irish Society* 101A (2001), 149-162.
18	Asymptotic unitary equivalence in KK-theory. With M. Dadarlat. K-Theory 23 (2001), 305-322.
19	Regularity of projections revisited. With C.A. Akemann Journal of Operator Theory 48 (2002), 515-534.
20	*Riesz 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.
21	Augmenting dimension group invariants for substitutional dynamical systems. With T.M. Carlsen. Ergodic theory and Dynamical Systems 24 (2004), 1015-1039.
22	A graph approach to computing nondeterminacy in substitutional dynamical systems. With T.M. Carlsen. RAIRO - Theoretical Informatics and Applications 41 (2007) 285-306.
23	Matsumoto K-groups associated to certain shift spaces. With T.M. Carlsen. Documenta Mathematica 9 (2004), 639-671.
24	Ordered K-groups associated to substitutional dynamics. With T.M. Carlsen. Journal of Functional Analysis 38 (2006) 99-117.
25	Inductive Limits of K-theoretic Complexes with Torsion Coefficients With A. Toms Journal of K-Theory 1 (2008), 145-168.
26	*C-algebras associated to dynamical systems** Discrete and continuous dynamical systems 15 (2006) 177-192.
27	*On 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
28	On the entropy of LEGO With B. Durhuus Submitted for publication.
29	Dimension groups associated to beta-expansions With T. Bates and T.M. Carlsen Mathematica Scandinavica 100 (2007), 198-208.
30	*Classification of extensions of classifiable C-algebras** With G. Restorff and E. Ruiz Advances of Mathematics 222 (2009) 2153-2172.
31	On the asymptotic growth of LEGO structures With M. Abrahamsen Experimental Mathematics 20 (2011) 145-152.
32	Erratum for "Augmenting dimension group invariants for substitutional dynamical systems". With T.M. Carlsen. Submitted for publication.
33	Nonsplitting of Bonkat's Universal Coefficient Theorem With G. Restorff and E. Ruiz. Canadian Mathematical Bulletin 54 (2011), 68-81.
34	Reducibility 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	*On the classification of nonsimple graph C-algebras** With M. Tomforde. Mathematische Annalen 346 (2010), 393-418.
37	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.
38	Index maps in the K-theory of graph algebras With T.M. Carlsen and M. Tomforde. Journal of K-theory 9(2012), 385-406.
39	*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.
40	*Classifying C-algebras with both finite and infinite subquotients** With G. Restorff and E. Ruiz. To appear in Journal of Functional Analysis, DOI: 10.1016/j.jfa.2013.05.006
41	Symbolic Dynamics With M.-P. Béal, J. Berstel, and D. Perrin. Chapter for "Handbook in Automata Theory". Preprint.
42	The ordered K-theory of a full extension With G. Restorff and E. Ruiz To appear in Canadian Journal of Mathematics, DOI: 10.4153/CJM-2013-015-7.
43	*Amplified graph C-algebras** With E. Ruiz and A. Sørensen. Münster Journal of Mathematics 5 (2012), 1211-150.