Subshifts and perforation

By J. Giol, David Kerr. 2010

72 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/18c867b238545d441c22890a0187667c4e0ba200

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. W. Winter
2. G'abor Szab'o
3. Andrew S. Toms
4. Samuel Evington
5. Jorge Castillejos
6. Stuart White
7. Z. Niu
8. Aaron Tikuisis

In Applied Mathematics

1. W. Winter
2. G'abor Szab'o
3. Andrew S. Toms
4. Stuart White
5. Aaron Tikuisis
6. Samuel Evington
7. Jorge Castillejos
8. G. Elliott

In Mathematical Physics

1. David Kerr
2. W. Winter
3. G'abor Szab'o
4. Andrew S. Toms
5. Samuel Evington
6. Jorge Castillejos
7. Aaron Tikuisis
8. Z. Niu

Citations in the corpus

• The C∗-algebra of a minimal homeomorphism of zero mean dimension (2014, background): “[3] J. Giol and D. Kerr.”
• Comparison Theory and Smooth Minimal C*-Dynamics (2008, background): “This invariant has proved useful in the matter of distinguishing simple separable amenable C-algebras both in general ([29]) and in the particular case of minimal Cdynamical systems ([12]).”
• Almost Finiteness and the Small Boundary Property (2018, background): “nomenon of higherdimensionality. The most prominent examples to date of crossed products that are not well behaved in the sense of Elliott’s program were exhibited in work of Giol and the first author [14] and arise in the context of nonzero mean dimension observed at the level of cubical subshifts. ”
• Nuclear dimension of simple $$\mathrm {C}^*$$-algebras (2019, background): “ns on a compact Hausdorff space X; in this case the nuclear dimension recaptures the dimension of X. At the other extreme lie simple C∗-algebras, where nuclear dimension divides the exotic examples of [69, 54, 65, 25] from those accessible to K-theoretic classification. Indeed, through the work of gen”
• Minimal Dynamics and K-Theoretic Rigidity: Elliott’s Conjecture (2009, background): “The hypotheses of minimality for α, finite-dimensionality forX, and the separation of traces by projections are all known to be necessary; the necessity of finite-dimensionality for X was established recently by Giol and Kerr in [5].”
• Dimension, comparison, and almost finiteness (2017, background): “It was shown in [13] that there are free minimal Z-actions on compact metrizable spaces such that the crossed product C(X) ⋊ Z fails to be Z-stable.”
• Nuclear dimension of simple stably projectionless C∗-algebras (2019, background): “o the covering dimension of the spectrum in the commutative case. Finite nuclear dimension has proven to be a technically useful strengthening of nuclearity, that is both necessary for classification ([64, 51, 59, 26]) and a vital ingredient of the most recent classification theorems ([34, 46, 29, 20,”