JournalsjncgVol. 14, No. 2Volume 14, No. 2 (2020) Journal of Noncommutative Geometrypp. 413–439Bounds for the rank of the finite part of operator $K$-theorySüleyman Kağan Samurkaşpp. 441–486Additivity of higher rho invariant for the topological structure group from a differential point of viewBaojie JiangHongzhi Liupp. 487–529Descent of Hilbert $C$*-modulesTyrone Crisppp. 531–565$A_{∞}$-coderivations and the Gerstenhaber bracket on Hochschild cohomologyCris NegronYury VolkovSarah Witherspoonpp. 567–589Property (T), property (F) and residual finiteness for discrete quantum groupsAngshuman BhattacharyaMichael BrannanAlexandru ChirvasituShuzhou Wangpp. 591–637Tannaka duality for enhanced triangulated categories I: reconstructionJonathan P. Pridhampp. 639–666Bivariant K-theory of generalized Weyl algebrasJulio GutiérrezChristian Valquipp. 667–680The nodal cubic and quantum groups at roots of unityUlrich KrähmerManuel Martinspp. 681–707Almost commutative $Q$-algebras and derived bracketsAndrew James Brucepp. 709–772A Chern–Weil formula for the Chern character of a perfect curved moduleMichael K. BrownMark E. Walkerpp. 773–788Embedding of the derived Brauer group into the secondary $K$-theory ringGonçalo Tabuadapp. 789–820On the twisted tensor product of small dg categoriesBoris Shoikhet

pp. 441–486Additivity of higher rho invariant for the topological structure group from a differential point of viewBaojie JiangHongzhi Liu

pp. 531–565$A_{∞}$-coderivations and the Gerstenhaber bracket on Hochschild cohomologyCris NegronYury VolkovSarah Witherspoon

pp. 567–589Property (T), property (F) and residual finiteness for discrete quantum groupsAngshuman BhattacharyaMichael BrannanAlexandru ChirvasituShuzhou Wang

pp. 709–772A Chern–Weil formula for the Chern character of a perfect curved moduleMichael K. BrownMark E. Walker