An introduction to noncommutative spaces and their geometries /

An introduction to noncommutative spaces and their geometries /

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Bibliographic Details
Author / Creator:	Landi, Giovanni, 1959-
Imprint:	Berlin ; New York : Springer, c1997.
Description:	xi, 200 p. : ill. ; 24 cm.
Language:	English
Series:	Lecture notes in physics. New series m Monographs, 0940 7677 ; m51 Lecture notes in physics. New series m, Monographs ; m51.
Subject:	Noncommutative differential geometry. Algebraic spaces. Algebraic spaces. Noncommutative differential geometry.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/4743569

Hidden Bibliographic Details
Varying Form of Title:	Noncommutative spaces and their geometries
ISBN:	3540635092
Notes:	Includes bibliographical references (p. [189]-195) and index. Electronic data. Berlin ; Heidelberg : Springer, c2002. Mode of access: Intranet. Caption title ; description based on screen of 2002-09-05.

Table of Contents:

1. Introduction
2. Noncommutative Spaces and Algebras of Functions
3. Projective Systems of Noncommutative Lattices
4. Modules as Bundles
5. A Few Elements of K-Theory
6. The Spectral Calculus
7. Noncommutative Differential Forms
8. Connections on Modules
9. Field Theories on Modules
10. Gravity Models
11. Quantum Mechanical Models on Noncommutative Lattices
A.1. Basic Notions of Topology
A.2. The Gelfand-Naimark-Segal Construction
A.3. Hilbert Modules
A.4. Strong Morita Equivalence
A.5. Partially Ordered Sets
A.6. Pseudodifferential Operators.