JournalsjncgVol. 14, No. 2Journal of Noncommutative GeometryVolume 14, Number 2, 2020DOI: 10.4171/jncg | ISSN: 1661-6952 | eISSN: 1661-6960Bounds for the rank of the finite part of operator $K$-theorySüleyman Kağan Samurkaşpp. 413–439Additivity of higher rho invariant for the topological structure group from a differential point of viewBaojie JiangHongzhi Liupp. 441–486Descent of Hilbert $C$*-modulesTyrone Crisppp. 487–529$A_{\infty}$-coderivations and the Gerstenhaber bracket on Hochschild cohomologyCris NegronYury VolkovSarah Witherspoonpp. 531–565Property (T), property (F) and residual finiteness for discrete quantum groupsAngshuman BhattacharyaMichael BrannanAlexandru ChirvasituShuzhou Wangpp. 567–589Tannaka duality for enhanced triangulated categories I: reconstructionJonathan P. Pridhampp. 591–637Bivariant K-theory of generalized Weyl algebrasJulio GutiérrezChristian Valquipp. 639–666The nodal cubic and quantum groups at roots of unityUlrich KrähmerManuel Martinspp. 667–680Almost commutative $Q$-algebras and derived bracketsAndrew James Brucepp. 681–707A Chern–Weil formula for the Chern character of a perfect curved moduleMichael K. BrownMark E. Walkerpp. 709–772Embedding of the derived Brauer group into the secondary $K$-theory ringGonçalo Tabuadapp. 773–788On the twisted tensor product of small dg categoriesBoris Shoikhetpp. 789–820

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

$A_{\infty}$-coderivations and the Gerstenhaber bracket on Hochschild cohomologyCris NegronYury VolkovSarah Witherspoonpp. 531–565

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

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