Cyclic Cohomology at 40

A. Connes, College de France, Paris, France, and Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France. C. Consani, Johns Hopkins University, Baltimore, MD. B. I. Dundas, University of Bergen, Norway. M. Khalkhali, Western University, London, ON, Canada. H. Moscovici, The Ohio State University, Columbus, OH.

A. Baldare, M. Benameur, and V. Nistor, Chern-Connes-Karoubi character isomorphisms and algebras of symbols of pseudodifferential operators J. Block, N. Higson, and J. Sanchez Jr., On Perrot's index cocycles P. Carrillo Rouse, The Chern-Baum Connes assembly map for Lie groupoids A. Connes and C. Consani, Hochschild homology, trace map and $\zeta$-cycles A. Connes and C. Consani, Cyclic theory and the pericyclic category J. Cuntz, The image of Bott peridocity in cyclic homology B. I. Dundas, Applications of topological cyclic homology to algebraic $K$-theory D. Gepner, Algebraic $K$-theory and generalized stable homotopy theory A. Gorokhovsky and E. van Erp, Cyclic cohomology and the extended Heisenberg calculus of Epstein and Melrose L. Hesselholt, Topological cyclic homology and the Fargues-Fontaine curve M. Khalkhali and I. Shapiro, Hopf cyclic cohomology and beyond M. Lorentz, The Hochschild cohomology of uniform Roe algebras E. McDonald, F. Sukochev, and X. Xiong, Quantum differntiability-The analytical perspective R. Meyer and D. Mukherjee, Local cyclic homology for nonarchimedean Banach algebras H. Moscovici, On the van Est analogy in Hopf cyclic cohomology P. Piazza and X. Tang, Primary and secondary invariants of Dirac operators on $G$-proper manifolds M. J. Pflaum, Localization in Hochschild homology R. Ponge, Cyclic homology and group actions E. Prodan, Cyclic cocycles and quantized pairings in materials science M. Puschnigg, Periodic cyclic homology of crossed products A. Savin and E. Schrohe, Trace expansions and equivariant traces on an algebra of Fourier integral operators on $\mathbb{R}^n$ Y. Song and X. Tang, Carton motion group and orbital integrals B. Tsygan, On noncommutative crystalline cohomology T. D. H. Van Nuland and W. D. van Suijlekom, Cyclic cocycles and one-loop corrections in the spectral action J. Wang, Z. Xie, and G. Yu, $\ell^1$-higher index, $\ell^1$-higher rho invariant and cyclic cohomology.