[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 …
The Imprimitivity Fell Bundle
A Duwenig - arXiv preprint arXiv:2311.15021, 2023 - arxiv.org
Given a full right-Hilbert C*-module $\mathbf {X} $ over a C*-algebra $ A $, the set $\mathbb
{K} _ {A}(\mathbf {X}) $ of $ A $-compact operators on $\mathbf {X} $ is the (up to …
{K} _ {A}(\mathbf {X}) $ of $ A $-compact operators on $\mathbf {X} $ is the (up to …
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 …
[HTML][HTML] A geometric representative for the fundamental class in KK-duality of Smale spaces
DM Gerontogiannis, MF Whittaker… - Journal of Functional …, 2024 - Elsevier
A fundamental ingredient in the noncommutative geometry program is the notion of KK-
duality, often called K-theoretic Poincaré duality, that generalises Spanier-Whitehead …
duality, often called K-theoretic Poincaré duality, that generalises Spanier-Whitehead …
The Heisenberg Spectral Triple and Associated Zeta Functions
B Steed - 2023 - dspace.library.uvic.ca
The construction of Butler, Emerson, and Schultz [2] produced a certain spectral triple, which
they called the Heisenberg cycle, by way of the quantum mechanical annihilation and …
they called the Heisenberg cycle, by way of the quantum mechanical annihilation and …
Zeta functions and topology of Heisenberg cycles for linear ergodic flows.
N Butler, H Emerson, T Schulz - Groups, Geometry & Dynamics, 2024 - ems.press
Placing a Dirac–Schrödinger operator along the orbit of a flow on a compact manifold M
defines an R-equivariant spectral triple over the algebra of smooth functions on M. We study …
defines an R-equivariant spectral triple over the algebra of smooth functions on M. We study …