Dr Paul Mitchener

All publications

Journal articles

• Mitchener P, Norouzizadeh B & Schick T (2020) Coarse homotopy groups. Mathematische Nachrichten. View this article in WRRO
• Mitchener P (2018) An analytic Novikov conjecture for semigroups. Rocky Mountain Journal of Mathematics, 48(4), 1231-1253. View this article in WRRO
• Mitchener P (2018) Categories of unbounded operators. Methods of Functional Analysis and Topology, 24(1), 71-81. View this article in WRRO
• Paul DM (2010) The general notion of descent in coarse geometry. Algebraic and Geometric Topology, 10(4), 2419-2450.
• Mitchener PD (2006) The Baum-Connes assembly map as a boundary map. Bulletin of the London Mathematical Society, 38(4), 575-586.
• Mitchener PD (2004) C*-categories, groupoid actions, equivariant KK-theory, and the Baum-Connes conjecture. Journal of Functional Analysis, 214(1), 1-39.
• Mitchener P (2003) Addendum to Coarse Homology Theories. Algebraic and Geometric Topology.
• Mitchener P (2002) C*-categories. Proceedings of the London Mathematical Society, 84(2), 375-404.
• Mitchener PD (2002) KK-theory of C*-categories and the analytic assembly map. K-Theory, 26(4), 307-344.
• Mitchener PD (2001) Symmetric K-theory spectra of C*-categories. K-Theory, 24(2), 157-201.
• Mitchener P (2001) Coarse Homology Theories. Algebraic and Geometric Topology.
• Mitchener P & Gheith N () Coarse Examples of Baues Cofibration Categories. Sarejevo Journal of Mathematics. View this article in WRRO
• Mitchener P () Descent and the $KH$-assembly map.

Working papers

• Mitchener P () Descent and the $KH$-assembly map. ArXiV.

Preprints

• Browne SL & Mitchener PD (2020) E-theory for $C^ast$-Categories, arXiv.
• Mitchener PD, Norouzizadeh B & Schick T (2018) Coarse Homotopy Groups, arXiv.
• Mitchener PD (2012) Descent and the $KH$-assembly map, arXiv.
• Mitchener PD (2011) An Analytic Novikov Conjecture for Semigroups, arXiv.
• Mitchener PD (2010) The General Notion of Descent in Coarse Geometry, arXiv.
• Mitchener PD (2010) The $K$-theory spectrum of the reduced group $C^ast$-algebra is a functor, arXiv.
• Mitchener PD (2007) The $KH$-Isomorphism Conjecture and Algebraic $KK$-theory, arXiv.
• Mitchener PD (2007) Algebraic $K$-theory Spectra and Factorisations of Analytic Assembly Maps, arXiv.
• Mitchener PD (2007) $KK$-theory spectra for $C^ast$-categories and discrete groupoid $C^ast$-algebras, arXiv.
• Mitchener PD (2003) Addendum to "Coarse homology theories", arXiv.
• Mitchener PD (2002) C*-categories, Groupoid Actions, Equivariant KK-theory, and the Baum-Connes Conjecture, arXiv.
• Mitchener PD (2002) KK-theory of C*-categories and the analytic assembly map, arXiv.
• Mitchener PD (2001) Coarse homology theories, arXiv.
• Mitchener P () $K$-theory for topological algebroids.