Papers
- Research Articles
- Technical Reports
40. F. Fathizadeh, and M. Khalkhali. Weyl's Law and Connes' Trace Theorem for Noncommutative Two Tori . Oct. 2011.(arxiv: 1111.1358)
39. F. Fathizadeh, and M. Khalkhali. Scalar Curvature for the Noncommutative Two Torus, Oct. 2011, arXiv:1110.3511.
38. F. Fathizadeh, and M. Khalkhali. Twisted Spectral Triples and Connes' Character Formula, Fields Institute Communications, Volume 61 - Perspectives on Noncommutative Geometry, Sept. 2011. ( arXiv: 1106.6127)
37. A. Moatadelro, and M. Khalkhali. Noncommutative complex geometry of the quantum projective space , Journal of Geometry and Physics, Volume 61, Issue 12, December 2011, 2436-2452. ( arXiv:1105.0456)
36. M. Hassanzadeh, and M. Khalkhali. Cup products and coproducts in Hopf cyclic cohomology, submitted to K-theory, Nov. 2010. ( arXiv:1011.2735)
35. A. Moatadelro, and M. Khalkhali. The homogeneous coordinate ring of the quantum projective plane, Journal of Geometry and Physics, Volume 61, Issue 1, January 2011, 276-289. ( arXiv:1007.3255)
34. F. Fathizadeh, and M. Khalkhali. The Gauss-Bonnet Theorem for Noncommutative Two Tori With a General Conformal Structure , accepted to appear in Journal of Noncommutative Geometry. ( arXiv:1005.4947)
33. F. Fathizadeh, and M. Khalkhali. The algebra of formal twisted pseudodifferential symbols and a noncommutative residue, Letters in Mathematical Physics, Volume 94, Issue 1, pp.41-61. 2010. ( arXiv:0810.0484)
32. M. Khalkhali, A short survey of cyclic cohomology, 29 pages, in Quanta of Maths, Alain Connes' festshrift, published by Clay Math Institute, and American Mathematical Society, Dec 2010. ( arXiv:1008.1212)
31. M. Khalkhali, and A. Pourkia. A supersymmetric version of the Connes-Moscovici Hopf algebra, Noncommutative Geometry and Global Analysis, Contemporary Mathematics, vol. 546, Amer. Math. Soc., Providence, RI, 2011, pp. 181-198. ( arXiv: 1011.2550)
30. M. Khalkhali, Giovanni Landi, and Walter D. van Suijlekom. Holomorphic structures on the quantum projective line, International Mathematics Research Notices, Vol 2011, issue 4, 851-884, 2011. ( arXiv:0907.0154)
29. M. Khalkhali, and A. Pourkia. Hopf cyclic cohomology in braided monoidal categories, Homology, Homotopy and Applications 12 (2010), No. 1, 111-155. ( arXiv:0807.3890)
28. A. Kaygun and M. Khalkhali. Bivariant Hopf cyclic cohomology, Communications in Algebra, Volume 38 Issue 7, 2010, 2513-2537. ( arXiv:math/0606341)
27. M. Khalkhali. Lectures in noncommutative geometry, in An Invitation to Noncommutative Geometry, World Scientific, Spring 2008. ( arXiv: math/0702140)
26. M. Khalkhali and B. Rangipour. Introduction to Hopf-cyclic cohomology, Noncommutative geometry and number theory, 155--178, Aspects Math., E37, Vieweg, Wiesbaden, 2006. ( arXiv:math/0503244)
25. A. Kaygun and M. Khalkhali. Excision in Hopf cyclic homology, K-Theory 37(1-2)(2006), 105-128. (arXiv:math/0511026)
24. A. Kaygun and M. Khalkhali. Hopf modules and noncommutative geometry, Letters in Mathematical Physics 76(1)(2006), 77-91. ( arXiv:math/0512031)
23. M. Khalkhali. Cup products in Hopf-cyclic cohomology and Connes-Moscovici characteristic map, Oberwolfach Reports no. 45(2004), 2372-2374. ( arXiv:)
22. M. Khalkhali and B. Rangipour. Para-Hopf algebroids and their cyclic cohomology, Letters in Mathematical Physics, 70(2004), 259-272. ( arXiv:)
21. M. Khalkhali and B. Rangipour. A note on cyclic duality and Hopf algebras, Communications in Algebra no. 3, 33(2004), 263-273. ( arXiv:math/0310088)
20. M. Khalkhali and B. Rangipour. On the cyclic cohomology of Hopf crossed products, Fields Institute Communications, vol. 43, (2004), 11 pages. ( arXiv:math/0303068)
19. P. Hajac, M. Khalkhali, B. Rangipour and Y. Sommerhuser. Stable anti-Yetler-Drinfeld modules, C. R. Acad. Science, Paris, Ser. I, 338(2004), 587-590. ( arXiv:math/0405005)
18. P. Hajac, M. Khalkhali, B. Rangipour and Y. Sommerhuser. Hopf-cyclic homology and cohomology with coefficients, C. R. Acad. Science, Paris, Ser. I, 338(2004), 667-672. ( arXiv:math/0306288)
17. M. Khalkhali and B. Rangipour. On the generalized cyclic Eilenberg-Zilber theorem, Canadian Mathematical Bulletin 47(2004), 38-48. (arXiv:math/0106167)
16. M. Khalkhali and R. Akbarpour. Equivariant cyclic cohomology of H-algebras, K-Theory 29(2003), 231-252. (arXiv:math/0009236)
15. M. Khalkhali and B. Rangipour. Cyclic cohomology of extended Hopf algebras, Banach Center Publications 61(2003), 59-89. ( arXiv:math/0303069)
14. M. Khalkhali and B. Rangipour. Invariant cyclic homology, K-Theory 28(2003), 183-205. (arXiv:math/0207118)
13. M. Khalkhali and R. Akbarpour. Cyclic homology of Hopf comodule algebras and Hopf module coalgebras, Comm. In Algebra 31,11(2003), 5653-5671. ( arXiv:math/0108126)
12. M. Khalkhali and R. Akbarpour. Hopf algebra equivariant cyclic homology and cyclic homology of crossed product algebras, J. Reine u. Angewandte Mathematik 559(2003), 137-152. ( arXiv:math/0011248)
11. M. Khalkhali and B. Rangipour. A new cyclic module for Hopf algebras, K-Theory 27(2002), 111-131. (arXiv:math/0010153)
10. M. Khalkhali. Operations on cyclic homology, the X complex and a conjecture of Deligne, Communications in Mathematical Physics 202(1999), 309-323. ( arXiv:math/9810139)
9. M. Khalkhali. On Cartan homotopy formulas in cyclic homology, Manuscripta Mathematica 94(1997), 111-132. ( arXiv:)
8. M. Khalkhali. A survey of entire cyclic cohomology, Cyclic cohomology and noncommutative geometry (Waterloo, ON, 1995), 79--89, Fields Inst. Commun., 17, Amer. Math. Soc., Providence, RI, 1997. ( arXiv:)
7. M. Khalkhali. An approach to operations on cyclic homology, J. of Pure and Applied Algebra 107(1996), 47-59. (arXiv:)
6. M. Khalkhali. Algebraic connections, universal bimodules and entire cyclic cohomology, Commun. in Math. Physics 161(1994), 433-446. ( arXiv:)
5. M. Khalkhali. On the entire cyclic cohomology of Banach algebras, Commun. in Algebra 22(1994), 22(1994), 5861-5874. ( arXiv:)
4. M. Khalkhali. A vanishing theorem for operations on entire cyclic cohomology, K-Theory 8(1994), 435-442. ( arXiv:)
3. M. Khalkhali. Nilpotent extensions and entire cyclic cohomology, K-Theory 8(1994), 429- 434. ( arXiv:)
2. P.A. Fillmore and M. Khalkhali. Entire cyclic cohomology of Banach algebras, Operator Theory: Advances and Applications 73(1994), 256-263. ( arXiv:)
1. M. Khalkhali, C. Laurie, B. Mathes and H. Radjavi. Approximation by products of positive operators, J. of Operator Theory 29(1993), 237-247. ( arXiv:)
2. M. Khalkhali (joint with F. Fathizadeh). Computing the modular curvature for the noncommutative two torus, Oberwolfach Reports No. 41/2011, Nichtkommutative Geometrie, Sept. 2011.
1. M. Khalkhali. Cup Products in Hopf-Cyclic Cohomology and Connes-Moscovici Characteristic Map, Oberwolfach Reports No. 45/2004, Nichtkommutative Geometrie, Sept. 2004.