The Cuntz Splice

Publications

  1. Efren Ruiz, A classification theorem for direct limits of extensions of circle algebras by purely infinite C*-algebras, J. Operartor theory, 58 (2) (2007), pp. 311-349.
  2. Efren Ruiz, Homomorphisms and strong approximate unitary equivalence, Indiana Univ. Math. J., 56 no. 3 (2007), pp. 1333-1360.
  3. Gunnar Restorff and Efren Ruiz, On Rørdam's classification of certain C*-algebras with one non-trivial ideal, II, Math. Scand., 101 (2) (2008), pp. 280-292.
  4. Ping Wong Ng and Efren Ruiz, Extending maps in K-theory, Int. J. Pure and Applied Math., 41 no. 3 (2007), pp. 419-442.
  5. Ping Wong Ng and Efren Ruiz, The automorphism group of a simple tracially AI algebra, Comm. Math. Physics., 280 (2008) no. 2, pp. 427-444.
  6. Ping Wong Ng, Zhuang Niu, and Efren Ruiz, Simple unital C*-algebras with the stable local finite dimensional property, J. Operator Theory, 61(1) (2009), pp. 147-169.
  7. Ping Wong Ng and Efren Ruiz, The structure of the unitary groups of certain simple C*-algebras, Houston J. Math, 35(4) (2009), pp. 1203-1232.
  8. Søren Eilers, Gunnar Restorff, and Efren Ruiz, Classification of extensions of classifiable C*-algebras, Adv. Math., 222 (2009), no. 6, pp. 2153-2172.
  9. Søren Eilers, Gunnar Restorff, and Efren Ruiz, On graph C*-algebras with linear ideal lattice, Bull. Malays. Math. Sci. Soc., 33(2) (2010), pp. 233-241.
  10. Ping Wong Ng and Efren Ruiz, Simplicity of the projective unitary group of the multiplier algebra of a simple stable nuclear C*-algebra, Rocky Mountain J. Math., 40 (2010), no. 5, pp. 1649-1665.
  11. Søren Eilers, Gunnar Restorff, and Efren Ruiz, Nonsplitting in Kirchberg's ideal-related KK-Theory, Canad. Math. Bull., 54 (2011), no. 1, pp. 68-81.
  12. Jeffrey L. Boersema and Efren Ruiz, Stability of real C*-algebras, Canad. Math. Bull., 54, no. 4 (2011), pp. 593-606.
  13. Jeffrey L. Boersema, Efren Ruiz, and P.J. Stacey, The classification of real purely infinite simple C*-algebras, Documenta Math., 16 (2011), pp. 619-655.
  14. Sara E. Arklint, Gunnar Restorff, and Efren Ruiz, Filtrated $K$-theory for real rank zero C*-algebras, Internat. J. Math., 23 (2012), no. 8, 1250078, 19 pp.
  15. Ping Wong Ng and Efren Ruiz, On the structure of the projective unitary group of the multiplier algebra of a simple stable C*-algebra, J. Operator Theory, 68 (2012), pp. 549-565.
  16. Søren Eilers, Efren Ruiz, and Adam Sørensen, Amplified graph C*-algebras, Münster J. of Math., 5 (2012), pp. 121-150.
  17. Efren Ruiz and Mark Tomforde, Classification of unital simple Leavitt path algebras of infinite graphs, J. Algebra, 384 (2013), pp. 45-83.
  18. Ping Wong Ng and Efren Ruiz, The automorphism group of a simple Z-stable C*-algebra, Trans. Amer. Math. Soc., 365 (2013), pp. 4081-4120.
  19. Søren Eilers, Gunnar Restorff, and Efren Ruiz, Classifying C*-algebras with both finite and infinite subquotients, J. Funct. Anal., 265 (2013), no. 3, pp. 449-468.
  20. Efren Ruiz and Mark Tomforde, Ideal-related K-theory for Leavitt path algebras and graph C*-algebras, Indiana Univ. Math. J., 62 (2013), no. 5, pp. 1587-1620.
  21. Søren Eilers, Takeshi Katsura, Efren Ruiz, and Mark Tomforde, Identifying AF-algebras that are graph C*-algebras, J. Funct. Anal., 266 (2014), pp. 3968-3996.
  22. Søren Eilers, Gunnar Restorff, and Efren Ruiz, The ordered K-theory of a full extension, Canad. J. Math., 66 (2014), no. 3, pp. 596-625.
  23. Efren Ruiz and Mark Tomforde, Ideals in graph algebras, Algebr. Represent. Theory, 17 (2014), no. 3, pp. 849-861.
  24. Efren Ruiz, Aidan Sims, and Mark Tomforde, The nuclear dimension of graph C*-algebras, Adv. Math., 272 (2015), pp. 96-123.
  25. James Gabe, Mark Tomforde, Efren Ruiz, and Tristan Whalen, K-theory for Leavitt path algebras: computation and classification, J. Algebra, 33 (2015), pp. 35-72.
  26. Efren Ruiz, Aidan Sims, and Adam Sørensen, UCT-Kirchberg algebras have nuclear dimension one, Adv. Math., 279 (2015), pp. 1-28.
  27. Sara E. Arklint and Efren Ruiz, Corners of Cuntz-Krieger algebras, Trans. Amer. Math. Soc., 367 (2015), no. 11, pp. 595-7612.
  28. Søren Eilers, Gunnar Restorff, and Efren Ruiz, Corrigendum to "Classifying C*-algebras with both finite and infinite subquotients'' [J. Funct. Anal. 265 (2013) 449-468], J. Funct. Anal., 270 (2016), no. 2, pp. 854-859.
  29. Jeffrey L. Boersema, Terry A. Loring, and Efren Ruiz, Pictures of KK-theory for real C*-algebras and almost commuting matrices, Banach J. Math. Anal., 10 (2016), no. 1, pp. 27-47.
  30. Søren Eilers, Xin Li, and Efren Ruiz, The isomorphism problem for semigroup C*-algebras of right-angled Artin monoids, Doc. Math. 21 (2016), pp. 309-343.
  31. James Gabe and Efren Ruiz, Classification of tight C*-algebras over the one-point compactification of N, J. Operator Theory 76 (2016), no. 1, pp. 175-204.
  32. Sara E. Arklint, Gunnar Restorff, and Efren Ruiz, Classification of real rank zero, purely infinite C*-algebras with at most four primitive ideals, J. Funct. Anal. 271 (2016), no. 7, pp. 1921-1947.
  33. Toke Meier Carlsen, Efren Ruiz, and Aidan Sims, Equivalence and stable isomorphism of groupoids, and diagonal-preserving stable isomorphisms of graph C*-algebras and Leavitt path algebras, Proc. Amer. Math. Soc., 145, no. 4, pp. 1581--1592.
  34. Toke Meier Carlsen, Gunnar Restorff, and Efren Ruiz, Efren Strong classification of purely infinite Cuntz-Krieger algebras, Trans. Amer. Math. Soc. Ser. B 4 (2017), pp. 1--30.

Conference Proceedings

  1. Søren Eilers, Gunnar Restorff, and Efren Ruiz, Classification of graph C^*-algebras with no more than four primitive ideals, Operator algebra and dynamics, pp. 89-129, Springer Proc. Math. Stat., 58, Springer, Heidelberg, 2013.

Publications with undergraduate students

  1. Damon Hay, Marissa Loving [UHH student], Martin Montgomery, Efren Ruiz, and Katherine Todd [UHH student], Non-stable K-theory for Leavitt path algebras, Rocky Mountain J. Math. 44 (2014), no. 6, pp. 1817-1850.

Publications to appear

  1. Søren Eilers, Gunnar Restorff, and Efren Ruiz, Ideal related K-theory with coefficients, To appear in Houston J. Math., Preprint version can be found at http://arXiv.org/abs/1210.2737.pdf.
  2. Sara E. Arklint, Søren Eilers, and Efren Ruiz, A dynamical characterization of diagonal preserving *-isomorphisms of graph C*-algebras, Ergodic Theory and Dynamical Systems, Preprint version can be found at http://arXiv.org/abs/1605.01202.pdf.
  3. Søren Eilers, Gunnar Restorff, Efren Ruiz, and Adam P.W. Sørensen, Filtered K-theory for graph algebras, To appear in the conference proceedings from the MATRIX-program ``Refining C*-algebraic invariants for dynamics using KK-theory" in Creswick, Australia (2016). Preprint version can be found at http://arXiv.org/abs/1610.02232.pdf.
  4. Søren Eilers, Gunnar Restorff, Efren Ruiz, and Adam P.W. Sørensen, Geometric classification of graph C*-algebras over finite graphs, To appear in the Canadian Journal of Mathematics. Preprint version can be found at http://arXiv.org/abs/1604.05439.pdf.
  5. Søren Eilers, Gunnar Restorff, Efren Ruiz, and Adam P.W. Sørensen, Invariance of the Cuntz splice, To appear in Mathematische Annalen. Preprint version can be found at http://arXiv.org/abs/1602.03709.pdf.