Realizing the analytic surgery group of Higson and Roe geometrically, part I: the geometric model
We construct a geometric analog of the analytic surgery group of Higson and Roe for the
assembly map** for free actions of a group with values in a Banach algebra completion of …
assembly map** for free actions of a group with values in a Banach algebra completion of …
[PDF][PDF] An introduction to C*-algebras and Noncommutative Geometry
H Emerson - Book in preparation, 2019 - uvic.ca
The study of C*-algebras was initiated by physicists working in quantum mechanics like
Heisenberg, but was continued by the mathematician Gelfand, especially in connection with …
Heisenberg, but was continued by the mathematician Gelfand, especially in connection with …
K-cycles for twisted K-homology
P Baum, A Carey, BL Wang - Journal of K-Theory, 2013 - cambridge.org
We summarise the construction of geometric cycles and their use in describing the Kasparov
K-homology of a CW-complex X. When Kasparov K-homology is twisted by a degree three …
K-homology of a CW-complex X. When Kasparov K-homology is twisted by a degree three …
R/Z-valued index theory via geometric K-homology
RJ Deeley - ar** cone using the framework of the
geometric cycles of Baum and Douglas is developed. In particular, this leads to a geometric …
geometric cycles of Baum and Douglas is developed. In particular, this leads to a geometric …
[PDF][PDF] Relative geometric assembly and map** cones Part II: Chern characters and the Novikov property.
We study Chern characters and the assembly map** for free actions using the framework
of geometric K-homology. The focus is on the relative groups associated with a group …
of geometric K-homology. The focus is on the relative groups associated with a group …
Relative geometric assembly and map** cones, part I: the geometric model and applications
Inspired by an analytic construction of Chang, Weinberger and Yu, we define an assembly
map in relative geometric K‐homology. The properties of the geometric assembly map are …
map in relative geometric K‐homology. The properties of the geometric assembly map are …
An Introduction to KK-Theory
H Emerson - An Introduction to C*-Algebras and Noncommutative …, 2024 - Springer
KK-theory is one of the most important achievements of the field of Noncommutative
Geometry. KK-theory was invented by Kasparov (Izv Akad Nauk SSSR Ser Mat 39 (4): 796 …
Geometry. KK-theory was invented by Kasparov (Izv Akad Nauk SSSR Ser Mat 39 (4): 796 …
Geometric K-homology with coefficients II: The Analytic Theory and Isomorphism
RJ Deeley - Journal of K-Theory, 2013 - cambridge.org
We discuss the analytic aspects of the geometric model for K-homology with coefficients in
ℤ/kℤ constructed in [12]. In particular, using results of Rosenberg and Schochet, we …
ℤ/kℤ constructed in [12]. In particular, using results of Rosenberg and Schochet, we …
Geometric -homology with coefficients II
RJ Deeley - arxiv preprint arxiv:1101.0703, 2011 - arxiv.org
We discuss the analytic aspects of the geometric model for $ K $-homology with coefficients
in $\mathbb {Z}/k\mathbb {Z} $ constructed in" Geometric K-homology with coefficients I". In …
in $\mathbb {Z}/k\mathbb {Z} $ constructed in" Geometric K-homology with coefficients I". In …
[PDF][PDF] Dirac Operators on Orientifolds
S Kitson - 2020 - core.ac.uk
Motivated by Wigner's theorem, a canonical construction is described that produces an
Atiyah-Singer Dirac operator [63, § II. 6] with both unitary and anti-unitary symmetries. This …
Atiyah-Singer Dirac operator [63, § II. 6] with both unitary and anti-unitary symmetries. This …