Cuntz-Krieger Algebras of Infinite Graphs and Matrices

By Iain Raeburn, W. Szymański. 2003

177 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Mathematical Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/3178d4ff584d07a5dd4039b543eb5ed0fa656328

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. Aidan Sims
2. M. Tomforde
3. Trent Yeend
4. Roozbeh Hazrat
5. Iain Raeburn
6. G. Pino
7. P. Ara
8. R. Exel

In Mathematical Physics

1. Aidan Sims
2. M. Tomforde
3. Trent Yeend
4. Roozbeh Hazrat
5. Iain Raeburn
6. G. Pino
7. P. Ara
8. R. Exel

In Statistics and Probability

1. M. Tomforde
2. Roozbeh Hazrat
3. Trent Yeend
4. J. Hong
5. K. Deicke
6. W. Szymański
7. R. Exel
8. P. Muhly

Citations in the corpus

• A unified approach to Exel-Laca algebras and C*-algebras associated to graphs (2001, methodology): “It was shown in [15] that there exist Exel-Laca algebras that are not graph algebras.”
• Inverse semigroups and combinatorial C*-algebras (2007, unknown): “Mathematical subject classification: Primary: 46L05; Secondary: 18B40.”
• The graded Grothendieck group and the classification of Leavitt path algebras (2011, methodology): “Cuntz computed K0 of On [11] and in [24] Raeburn and Szymański carried out the calculation for graph C ∗algebras (see also [25, Ch.”
• Groupoid models for the C*-algebras of topological higher-rank graphs (2006, methodology): “Note that this example includes the Toeplitz and Cuntz-Krieger algebras of arbitrary directed graphs as studied in [8, 3, 7, 17, 27, 5, 23] (among others).”
• Quantum lens spaces and graph algebras (2003, background): “We denote by ΣE the collection of all hereditary and saturated subsets of E0.”
• Rank-two graphs whose C∗-algebras are direct limits of circle algebras (2005, background): “But this is all we can do: the dichotomy of [20] says that every simple graph algebra is either purely infinite or AF, and a theorem of [27] says that every graph algebra has torsion-free K1.”
• Topological Quivers (2003, background): “[5, 46, 4, 14]) and as we shall see, their generaliztions play an equally important role in the analysis of C∗-algebras associated to topological quivers.”
• Quantum Spheres and Projective Spaces as Graph Algebras (2002, background): “One of the key advantages of the theory is the great ease with which it is possible to understand structure and compute invariants of the algebras just by looking at the underlying graphs, or the corresponding matrices [9, 8, 19, 24, 23, 2, 13, 41, 14, 35, 30, 11, 12, 1, 18].”
• GRAPH INVERSE SEMIGROUPS, GROUPOIDS AND THEIR C -ALGEBRAS (2003, unknown): “O A ] 2 3 A pr ∗-algebra is simple.”