References
- Bonneau, P., Flato, M., Gerstenhaber, M., Pinczon, G. (1994). The hidden group structure of quantum groups: strong duality, rigidity and preferred deformations. Commun. Math. Phys. 161:125–156.
- Bonneau, P., Sternheimer, D. (2005). Topological Hopf Algebras, Quantum Groups and Deformation Quantization. In: Hopf Algebras in Noncommutative Geometry and Physics. Lecture Notes in Pure and Appl. Math., vol. 239. New York: Dekker, pp. 55–70.
- Brzeziński, T. (2011). Hopf-Cyclic Homology with Contramodule Coefficients. Quantum Groups and Noncommutative Spaces. Aspects Math., E41. Wiesbaden: Vieweg + Teubner, pp. 1–8.
- Cartan, E. (1909). Les groupes de transformations continus, infinis, simples. Ann. Sci. École Norm. Sup. 26:93–161.
- Connes, A. (1983). Cohomologie cyclique et foncteurs Extn. C. R. Acad. Sci. Paris Sér. I Math. 296(23):953–958.
- Connes, A., Moscovici, H. (1998). Hopf algebras, cyclic cohomology and the transverse index theorem. Commun. Math. Phys. 198(1):199–246.
- Connes, A., Moscovici, H. (2005). Background independent geometry and Hopf cyclic cohomology.
- Dixmier, J. (1996). Enveloping Algebras. Graduate Studies in Mathematics, vol. 11. Providence, RI: American Mathematical Society. Revised reprint of the 1977 translation.
- Dupont, J. L. (1976). Simplicial de Rham cohomology and characteristic classes of flat bundles. Topology 15(3):233–245.
- Grothendieck, A. (1955). Produits tensoriels topologiques et espaces nucléaires. Mem. Am. Math. Soc. (16):140.
- Hajac, P. M., Khalkhali, M., Rangipour, B., Sommerhäuser, Y. (2004). Hopf-cyclic homology and cohomology with coefficients. C. R. Math. Acad. Sci. Paris. 338(9):667–672.
- Hajac, P. M., Khalkhali, M., Rangipour, B., Sommerhäuser, Y. (2004). Stable anti-Yetter-Drinfeld modules. C. R. Math. Acad. Sci. Paris 338(8):587–590.
- Hochschild, G., Mostow, G. D. (1962). Cohomology of Lie groups. Illinois J. Math. 6:367–401.
- Hochschild, G. P. (1981). Basic Theory of Algebraic Groups and Lie Algebras. In: Graduate Texts in Mathematics. vol. 75. New York: Springer.
- Jara, P., Ştefan, D. (2006). Hopf-cyclic homology and relative cyclic homology of Hopf-Galois extensions. Proc. Lond. Math. Soc. 93(3):138–174.
- Kac, G. I. (1968). Group extensions which are ring groups. Mat. Sb. (N.S.) 76(118):473–496.
- Kaygun, A. (2005). Bialgebra cyclic homology with coefficients. K-Theory 34(2):151–194.
- Loday, J. L. (1998). Cyclic homology, 2nd ed. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 301. Berlin: Springer. Appendix E by Maria O. Ronco, Chapter 13 by the author in collaboration with Teimuraz Pirashvili.
- Majid, S. (1990). Physics for algebraists: noncommutative and noncocommutative Hopf algebras by a bicrossproduct construction. J. Algebra 130(1):17–64.
- Majid, S. (1995). Foundations of Quantum Group Theory. Cambridge: Cambridge University Press.
- Mitiagin, B., Rolewicz, S., Żelazko, W. (1961/1962). Entire functions in B0-algebras. Studia Math. 21:291–306.
- Moscovici, H., Rangipour, B. (2009). Hopf algebras of primitive Lie pseudogroups and Hopf cyclic cohomology. Adv. Math. 220(3):706–790.
- Moscovici, H., Rangipour, B. (2011). Hopf cyclic cohomology and transverse characteristic classes. Adv. Math. 227(1):654–729.
- Mostow, G. D. (1961). Cohomology of topological groups and solvmanifolds. Ann. Math. 73(2):20–48.
- Natsume, T. (1978). Certain Weil algebras of infinite-dimensional Lie algebras. Kodai Math. J. 1(3):401–410.
- Neeb, K. H. (2006). Non-abelian extensions of topological Lie algebras. Commun. Algebra 34 (3):991–1041.
- Pirkovskii, A. Yu. (2006). Arens-Michael enveloping algebras and analytic smash products. Proc. Am. Math. Soc. 134(9):2621–2631.
- Rangipour, B., Sütlü, S. (2012). Cyclic cohomology of Lie algebras. Documenta Math. 17:483–515.
- Rangipour, B., Sütlü, S. (2012). SAYD modules over Lie-Hopf algebras. Commun. Math. Phys. 316(1):199–236.
- Rangipour, B., Sütlü, S. (2012). A van Est isomorphism for bicrossed product Hopf algebras. Comm. Math. Phys. 311(2):491–511.
- Rangipour, B., Sütlü, S. (2010). Lie-Hopf algebras and their Hopf cyclic cohomology. arXiv:1012.4827.
- Rangipour, B., Sütlü, S. Cup products in Hopf-cyclic cohomology, the topological setting.
- Rangipour, B., Sütlü, S., Yazdani Aliabadi, F. (2017). Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebras with infinite dimensional coefficients. J. Homotopy Relat. Struct. 1–43
- Schaefer, H. H. (1971). Topological Vector Spaces. New York: Springer.
- Taylor, J. L. (1972). Homology and cohomology for topological algebras. Adv. Math. 9:137–182.
- Trèves, F. (2006). Topological Vector Spaces, Distributions and Kernels. Mineola, NY: Dover Publications Inc.
- Tsujishita, T. (1981). Continuous cohomology of the Lie algebra of vector fields. Mem. Am. Math. Soc. 34(253):iv +154.
- van Est, W. T. (1953). Group cohomology and Lie algebra cohomology in Lie groups. I, II. Nederl. Akad. Wetensch. Proc. Ser. A. 56 = Indagationes Math. 15:484–492, 493–504.