1. QUANTIZATION OF MULTIPLY CONNECTED MANIFOLDS Open Access Author: Hawkins, Eli John Title: QUANTIZATION OF MULTIPLY CONNECTED MANIFOLDS Graduate Program: Mathematics Keywords: K-theoryNoncommutative GeometryOperator AlgebrasQuantization File: Download mult.pdf Committee Members: Nigel David Higson, Committee Chair/Co-ChairPaul Frank Baum, Committee MemberVictor Nistor, Committee MemberJohn Collins, Committee Member
2. An Example of Non-commutative Poincare Duality Arising from Hyperbolic Dynamics Open Access Author: Emerson, Heath W. Title: An Example of Non-commutative Poincare Duality Arising from Hyperbolic Dynamics Graduate Program: Mathematics Keywords: Poincare dualityK-theoryHyperbolic group File: Download mythesis.pdf Committee Members: Jorge Pullin, Committee MemberJohn Roe, Committee MemberJoel H Anderson, Committee MemberNigel David Higson, Committee Chair/Co-Chair
3. Analytic structures for the index theory of SL(3,C) Open Access Author: Yuncken, Robert Elms Title: Analytic structures for the index theory of SL(3,C) Graduate Program: Mathematics Keywords: index theorynoncommutative geometryK-theoryBaum-Connes conjecture File: Download thesis.pdf Committee Members: Nigel David Higson, Committee Chair/Co-ChairJohn Roe, Committee MemberNathanial Patrick Brown, Committee MemberMurat Gunaydin, Committee Member
4. Homological Calculations with the Analytic Structure Group Open Access Author: Siegel, Paul Wilke Title: Homological Calculations with the Analytic Structure Group Graduate Program: Mathematics Keywords: K-theoryIndex TheoryTopologyGeometry File: Download Paul_Siegel-Dissertation.pdf Committee Members: John Roe, Dissertation Advisor/Co-AdvisorDmitri Yu Burago, Committee MemberNigel David Higson, Committee MemberSean Hallgren, Committee Member
5. Direct splitting method for the Baum-Connes conjecture and groups acting on CAT(0)-cubical spaces Open Access Author: Nishikawa, Shintaro Title: Direct splitting method for the Baum-Connes conjecture and groups acting on CAT(0)-cubical spaces Graduate Program: Mathematics Keywords: the Baum-Connes conjectureKK-theoryK-theoryC*-algebrasCAT(0)-cubical space File: Download 20200205dissertationNishikawa.pdf Committee Members: Nigel David Higson, Dissertation Advisor/Co-AdvisorNigel David Higson, Committee Chair/Co-ChairNathanial Patrick Brown, Committee MemberPaul Frank Baum, Committee MemberEugenio Bianchi, Outside MemberMark Levi, Program Head/Chair