Titre :	Lectures on amenability
Type de document :	texte imprimé
Auteurs :	V. Runde
Editeur :	Springer-Verlag
Année de publication :	2002
Collection :	Lecture Notes in Mathematics, ISSN 0075-8434 num. 1774
Importance :	xiii - 296 p.
ISBN/ISSN/EAN :	978-3-540-42852-7
Langues :	Anglais
Catégories :	22-XX Topological groups, Lie groups :22DXX Locally compact groups and their algebras:22D15 Group algebras of locally compact groups 22-XX Topological groups, Lie groups :22DXX Locally compact groups and their algebras:22D20 Representations of group algebras 43-XX Abstract harmonic analysis :43A07 Means on groups, semigroups, etc.; amenable groups 43-XX Abstract harmonic analysis :43A20 $L^1$-algebras on groups, semigroups, etc. 46-XX Functional analysis :46BXX Normed linear spaces and Banach spaces; Banach lattices :46B20 Geometry and structure of normed linear spaces 46-XX Functional analysis :46BXX Normed linear spaces and Banach spaces; Banach lattices :46B28 Spaces of operators; tensor products; approximation properties 46-XX Functional analysis :46HXX Topological algebras, normed rings and algebras, Banach algebras :46H20 Structure, classification of topological algebras 46-XX Functional analysis :46HXX Topological algebras, normed rings and algebras, Banach algebras :46H25 Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) 46-XX Functional analysis :46LXX Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W$*-) algebras, etc.) :46L05 General theory of $C^*$-algebras 46-XX Functional analysis :46LXX Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W$*-) algebras, etc.) :46L06 Tensor products of $C^*$-algebras 46-XX Functional analysis :46LXX Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W$*-) algebras, etc.) :46L07 Operator spaces and completely bounded maps 46-XX Functional analysis :46LXX Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W$*-) algebras, etc.) :46L10 General theory of von Neumann algebras 46-XX Functional analysis :46MXX Methods of category theory in functional analysis :46M18 Homological methods (exact sequences, right inverses, lifting, etc.) 46-XX Functional analysis :46MXX Methods of category theory in functional analysis :46M20 Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.) 47-XX Operator theory:47BXX Special classes of linear operators:47B47 Commutators, derivations, elementary operators, etc. 47-XX Operator theory:47BXX Special classes of linear operators:47B48 Operators on Banach algebras 47-XX Operator theory:47LXX Linear spaces and algebras of operators :47L25 Operator spaces (= matricially normed spaces) 58-XX Global analysis, analysis on manifolds :58BXX Infinite-dimensional manifolds:58B99 None of the above, but in this section
Mots-clés :	amenability for c- and von neumann algebras  locally compact groups  paradoxical decompositions  hochschild cohomology  amenable banach algebras
Index. décimale :	LNM

Lectures on amenability [texte imprimé] / V. Runde . - [S.l.] : Springer-Verlag, 2002 . - xiii - 296 p.. - (Lecture Notes in Mathematics, ISSN 0075-8434; 1774) .
ISBN : 978-3-540-42852-7
Langues : Anglais

Catégories :	22-XX Topological groups, Lie groups :22DXX Locally compact groups and their algebras:22D15 Group algebras of locally compact groups 22-XX Topological groups, Lie groups :22DXX Locally compact groups and their algebras:22D20 Representations of group algebras 43-XX Abstract harmonic analysis :43A07 Means on groups, semigroups, etc.; amenable groups 43-XX Abstract harmonic analysis :43A20 $L^1$-algebras on groups, semigroups, etc. 46-XX Functional analysis :46BXX Normed linear spaces and Banach spaces; Banach lattices :46B20 Geometry and structure of normed linear spaces 46-XX Functional analysis :46BXX Normed linear spaces and Banach spaces; Banach lattices :46B28 Spaces of operators; tensor products; approximation properties 46-XX Functional analysis :46HXX Topological algebras, normed rings and algebras, Banach algebras :46H20 Structure, classification of topological algebras 46-XX Functional analysis :46HXX Topological algebras, normed rings and algebras, Banach algebras :46H25 Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) 46-XX Functional analysis :46LXX Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W$*-) algebras, etc.) :46L05 General theory of $C^*$-algebras 46-XX Functional analysis :46LXX Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W$*-) algebras, etc.) :46L06 Tensor products of $C^*$-algebras 46-XX Functional analysis :46LXX Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W$*-) algebras, etc.) :46L07 Operator spaces and completely bounded maps 46-XX Functional analysis :46LXX Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W$*-) algebras, etc.) :46L10 General theory of von Neumann algebras 46-XX Functional analysis :46MXX Methods of category theory in functional analysis :46M18 Homological methods (exact sequences, right inverses, lifting, etc.) 46-XX Functional analysis :46MXX Methods of category theory in functional analysis :46M20 Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.) 47-XX Operator theory:47BXX Special classes of linear operators:47B47 Commutators, derivations, elementary operators, etc. 47-XX Operator theory:47BXX Special classes of linear operators:47B48 Operators on Banach algebras 47-XX Operator theory:47LXX Linear spaces and algebras of operators :47L25 Operator spaces (= matricially normed spaces) 58-XX Global analysis, analysis on manifolds :58BXX Infinite-dimensional manifolds:58B99 None of the above, but in this section
Mots-clés :	amenability for c- and von neumann algebras  locally compact groups  paradoxical decompositions  hochschild cohomology  amenable banach algebras
Index. décimale :	LNM