nLab
C*Alg

Contents

Context

Operator algebra

algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)

Introduction

Concepts

field theory:

Lagrangian field theory

quantization

quantum mechanical system, quantum probability

free field quantization

gauge theories

interacting field quantization

renormalization

Theorems

States and observables

Operator algebra

Local QFT

Perturbative QFT

Contents

Definition

The category whose objects are C-star algebras and whose morphisms are C *C^\ast-homomorphisms.

Properties

The universal additive split-exact and homotopy-invariant localization of C *C^\ast at the C *C^\ast-algebra of compact operators is KK-theory. See there for more.

category: category

Last revised on June 4, 2018 at 06:16:37. See the history of this page for a list of all contributions to it.