Título :	Homotopy Theory of C*-Algebras
Tipo de documento:	documento electrónico
Autores:	Østvær, Paul Arne ; SpringerLink (Online service)
Editorial:	Basel : Springer Basel
Fecha de publicación:	2010
Colección:	Frontiers in Mathematics, ISSN 1660-8046
Número de páginas:	VI, 140p
Il.:	online resource
ISBN/ISSN/DL:	978-3-0346-0565-6
Idioma :	Inglés (eng)
Palabras clave:	Mathematics  Functional  analysis  Algebraic  topology  Topology  Analysis
Clasificación:	51 Matemáticas
Resumen:	Homotopy theory and C*-algebras are central topics in contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras. One basic idea of the setup is to merge C*-algebras and spaces studied in algebraic topology into one category comprising C*-spaces. These objects are suitable fodder for standard homotopy theoretic moves, leading to unstable and stable model structures. With the foundations in place one is led to natural definitions of invariants for C*-spaces such as homology and cohomology theories, K-theory and zeta-functions. The text is largely self-contained. It serves a wide audience of graduate students and researchers interested in C*-algebras, homotopy theory and applications
Nota de contenido:	1 Introduction -- 2 Preliminaries -- 2.1 C*-spaces -- 2.2 G – C*-spaces -- 2.3 Model categories -- 3 Unstable C*-homotopy theory -- 3.1 Pointwise model structures -- 3.2 Exact model structures -- 3.3 Matrix invariant model structures -- 3.4 Homotopy invariant model structures -- 3.5 Pointed model structures -- 3.6 Base change -- 4 Stable C*-homotopy theory -- 4.1 C*-spectra -- 4.2 Bispectra -- 4.3 Triangulated structure -- 4.4 Brown representability -- 4.5 C*-symmetric spectra -- 4.6 C*-functors -- 5 Invariants -- 5.1 Cohomology and homology theories -- 5.2 KK-theory and the Eilenberg-MacLane spectrum -- 5.3 HL-theory and the Eilenberg-MacLane -- 5.4 The Chern-Connes-Karoubi character -- 5.5 K-theory of C*-algebras -- 5.6 Zeta functions -- 6 The slice filtration -- References -- Index
En línea:	http://dx.doi.org/10.1007/978-3-0346-0565-6
Link:	https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33689

Homotopy Theory of C*-Algebras [documento electrónico] / Østvær, Paul Arne ; SpringerLink (Online service) . - Basel : Springer Basel, 2010 . - VI, 140p : online resource. - (Frontiers in Mathematics, ISSN 1660-8046) .
ISBN : 978-3-0346-0565-6
Idioma : Inglés (eng)

Palabras clave:	Mathematics  Functional  analysis  Algebraic  topology  Topology  Analysis
Clasificación:	51 Matemáticas
Resumen:	Homotopy theory and C*-algebras are central topics in contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras. One basic idea of the setup is to merge C*-algebras and spaces studied in algebraic topology into one category comprising C*-spaces. These objects are suitable fodder for standard homotopy theoretic moves, leading to unstable and stable model structures. With the foundations in place one is led to natural definitions of invariants for C*-spaces such as homology and cohomology theories, K-theory and zeta-functions. The text is largely self-contained. It serves a wide audience of graduate students and researchers interested in C*-algebras, homotopy theory and applications
Nota de contenido:	1 Introduction -- 2 Preliminaries -- 2.1 C*-spaces -- 2.2 G – C*-spaces -- 2.3 Model categories -- 3 Unstable C*-homotopy theory -- 3.1 Pointwise model structures -- 3.2 Exact model structures -- 3.3 Matrix invariant model structures -- 3.4 Homotopy invariant model structures -- 3.5 Pointed model structures -- 3.6 Base change -- 4 Stable C*-homotopy theory -- 4.1 C*-spectra -- 4.2 Bispectra -- 4.3 Triangulated structure -- 4.4 Brown representability -- 4.5 C*-symmetric spectra -- 4.6 C*-functors -- 5 Invariants -- 5.1 Cohomology and homology theories -- 5.2 KK-theory and the Eilenberg-MacLane spectrum -- 5.3 HL-theory and the Eilenberg-MacLane -- 5.4 The Chern-Connes-Karoubi character -- 5.5 K-theory of C*-algebras -- 5.6 Zeta functions -- 6 The slice filtration -- References -- Index
En línea:	http://dx.doi.org/10.1007/978-3-0346-0565-6
Link:	https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33689