An introduction to noncommutative spaces and their geometries /
These lecture notes are an introduction to several ideas and applications of noncommutative geometry. It starts with a not necessarily commutative but associative algebra which is thought of as the algebra of functions on some 'virtual noncommutative space'. Attention is switched from spac...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[1997]
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| Series: | Lecture notes in physics. Monographs ;
m51. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Introduction
- Noncommutative Spaces and Algebras of Functions
- Projective Systems of Noncommutative Lattices
- Modules as Bundles
- A Few Elements of K-theory
- The Spectral Calculus
- Noncommutative Differential Forms
- Connections on Modules
- Field Theories on Modules
- Gravity Models
- Quantum Mechanical Models on Noncommutative Lattices
- Basic Notions of Topology
- The Gel'fand-Naimark- Segal Construction
- Hilbert Modules
- Strong Morita Equivalence
- Partially Ordered Sets
- Pseudodifferential Operators.