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An Introduction to Noncommutative Spaces and Their Geometries

Door Giovanni Landi

Categorie	Algemeen wetenschap
Boeknummer	#342798-ZA29
Titel	An Introduction to Noncommutative Spaces and Their Geometries
Auteur	Landi, Giovanni
Boektype	Gebonden
Uitgeverij	Berlin/Heidelberg : Springer-Verlag
Jaar van uitgave	1997
ISBN10	3540635092
ISBN13	9783540635093
Taal	Engels
Beschrijving	Original boards, illustrated with numerous equations and diagrams, 8vo. Lecture Notes in Physics Monographs, 51.
Samenvatting	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 spaces, which in general do not even exist, to algebras of functions. In these notes, particular emphasis is put on seeing noncommutative spaces as concrete spaces, namely as a collection of points with a topology. The necessary mathematical tools are presented in a systematic and accessible way and include among other things, C'*-algebras, module theory and K-theory, spectral calculus, forms and connection theory. Application to Yang--Mills, fermionic, and gravity models are described. Also the spectral acti... (Lees verder)on and the related invariance under automorphism of the algebra is illustrated. Some recent work on noncommutative lattices is presented. These lattices arose as topologically nontrivial approximations to 'contuinuum' topological spaces. They have been used to construct quantum-mechanical and field-theory models, alternative models to lattice gauge theory, with nontrivial topological content. This book will be essential to physicists and mathematicians with an interest in noncommutative geometry and its uses in physics.
Pagina's	260
Conditie	Redelijk — Corners and edges worn, spine slightly discoloured, name in pen on title page.
Prijs	€ 30,00

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