{"product_id":"cyclic-cohomology-at-40-9781470469771","title":"Cyclic Cohomology at 40","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003ePresents survey articles providing a user-friendly introduction to applications of cyclic cohomology in such areas as higher categorical algebra, Hopf algebra symmetries, de Rham-Witt complex, quantum physics, etc, in which cyclic homology plays the role of a unifying theme.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eA. Baldare, M. Benameur, and V. Nistor, Chern-Connes-Karoubi character isomorphisms and algebras of symbols of pseudodifferential operators\u003c\/li\u003e\n\u003cli\u003eJ. Block, N. Higson, and J. Sanchez Jr., On Perrot's index cocycles\u003c\/li\u003e\n\u003cli\u003eP. Carrillo Rouse, The Chern-Baum Connes assembly map for Lie groupoids\u003c\/li\u003e\n\u003cli\u003eA. Connes and C. Consani, Hochschild homology, trace map and $\\zeta$-cycles\u003c\/li\u003e\n\u003cli\u003eA. Connes and C. Consani, Cyclic theory and the pericyclic category\u003c\/li\u003e\n\u003cli\u003eJ. Cuntz, The image of Bott peridocity in cyclic homology\u003c\/li\u003e\n\u003cli\u003eB. I. Dundas, Applications of topological cyclic homology to algebraic $K$-theory\u003c\/li\u003e\n\u003cli\u003eD. Gepner, Algebraic $K$-theory and generalized stable homotopy theory\u003c\/li\u003e\n\u003cli\u003eA. Gorokhovsky and E. van Erp, Cyclic cohomology and the extended Heisenberg calculus of Epstein and Melrose\u003c\/li\u003e\n\u003cli\u003eL. Hesselholt, Topological cyclic homology and the Fargues-Fontaine curve\u003c\/li\u003e\n\u003cli\u003eM. Khalkhali and I. Shapiro, Hopf cyclic cohomology and beyond\u003c\/li\u003e\n\u003cli\u003eM. Lorentz, The Hochschild cohomology of uniform Roe algebras\u003c\/li\u003e\n\u003cli\u003eE. McDonald, F. Sukochev, and X. Xiong, Quantum differntiability-The analytical perspective\u003c\/li\u003e\n\u003cli\u003eR. Meyer and D. Mukherjee, Local cyclic homology for nonarchimedean Banach algebras\u003c\/li\u003e\n\u003cli\u003eH. Moscovici, On the van Est analogy in Hopf cyclic cohomology\u003c\/li\u003e\n\u003cli\u003eP. Piazza and X. Tang, Primary and secondary invariants of Dirac operators on $G$-proper manifolds\u003c\/li\u003e\n\u003cli\u003eM. J. Pflaum, Localization in Hochschild homology\u003c\/li\u003e\n\u003cli\u003eR. Ponge, Cyclic homology and group actions\u003c\/li\u003e\n\u003cli\u003eE. Prodan, Cyclic cocycles and quantized pairings in materials science\u003c\/li\u003e\n\u003cli\u003eM. Puschnigg, Periodic cyclic homology of crossed products\u003c\/li\u003e\n\u003cli\u003eA. Savin and E. Schrohe, Trace expansions and equivariant traces on an algebra of Fourier integral operators on $\\mathbb{R}^n$\u003c\/li\u003e\n\u003cli\u003eY. Song and X. Tang, Carton motion group and orbital integrals\u003c\/li\u003e\n\u003cli\u003eB. Tsygan, On noncommutative crystalline cohomology\u003c\/li\u003e\n\u003cli\u003eT. D. H. Van Nuland and W. D. van Suijlekom, Cyclic cocycles and one-loop corrections in the spectral action\u003c\/li\u003e\n\u003cli\u003eJ. Wang, Z. Xie, and G. Yu, $\\ell^1$-higher index, $\\ell^1$-higher rho invariant and cyclic cohomology.\u003c\/li\u003e\n\u003cli\u003e\u003cul\u003e\u003c\/ul\u003e\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"American Mathematical Society","offers":[{"title":"Default Title","offer_id":50046683578711,"sku":"9781470469771","price":109.8,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470469771.jpg?v=1740272097","url":"https:\/\/bookcurl.com\/products\/cyclic-cohomology-at-40-9781470469771","provider":"Book Curl","version":"1.0","type":"link"}