Approximating spectral invariants of Harper operators on graphs

Journal of Functional Analysis

Volumn 188, Issue 1, 2002, Pages 111-136

  Mathai, Varghese ^a,b   Yates, Stuart ^b  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

Algebraic number theory; Amenable groups; Approximation theorems; Fuglede Kadison determinant; Graphs; Harper operator; Von Neumann algebras

Indexed keywords

EID: 0037050305     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.2001.3841     Document Type: Article

References (25)

1. A note on the Følner condition of amenability
2. Elliptic operators, discrete groups and Von Neumann algebras
3. The non-commutative geometry of the quantum Hall effect
4. Gap labeling theorems for Schrödinger's operators
5. Torsion for manifolds with boundary and gluing formulas
6. Analytic and Reidemeister torsion for representations in finite type Hilbert modules
7. P. Quantum Hall effect on the hyperbolic plane
8. Quantum Hall effect on the hyperbolic plane in the presence of disorder
9. Log Hölder continuity of the integrated density of states for stochastic Jacobi matrices
10. "Von Neumann Algebras"
11. 2 invariants of amenable covering spaces: A combinatorial approach
12. 2-invariants and the Atiyah conjecture
13. Remark on the continuity of the density of states of ergodic finite difference operators
14. Combinatorial heat kernels and index theorems
15. 2 invariants
16. "Algebraic Number Theory"
17. Determinant theory in finite factors
18. 2 invariants by their finite dimensional analogues
19. Twisted index theory on good orbifolds, I, noncommutative Bloch theory
20. Twisted index theory on good orbifolds, II: fractional quantum numbers
21. "Elliptic Operators, Topology and Asymptotic Methods"
22. "Transcendental Numbers"
23. Discrete magnetic Schrödinger operators
24. A discrete analogue of periodic magnetic Schrödinger operators
25. "Geometric Integration Theory"