Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory

Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory

Source :

• Selecta Mathematica [ 1022-1824 ] ; 1995-12-01.

English descriptors

• KwdEn :
  • Abelian groups, Academic press, Acts transitively, Additive group, Algebra, Automorphism, Automorphism group, Automorphisms, Base point, Bost, Canonically isomorphic, Characteristic function, Choquet simplex, Closure, Commutant, Compact group, Compact groupoid, Compact operators, Compact ring, Compact space, Compact subgroup, Compact subring, Complex conjugation, Complex numbers, Connes, Connes proposition, Continuous functions, Convolution, Convolution algebra, Critical temperature, Discrete group, Discrete groups, Dixmier trace, Double class, Double classes, Double cosets, Dynamical system, Eigenvalue list, Equivalence classes, Exact sequence, Extreme point, Extreme points, Factor state, Factor states, Finite adeles, Finite field, Finite orbit, Finite places, Finite support, First show, Free energy, Functional analysis, Galois group, Good sense, Group acts, Group ring, Haar, Haar measure, Hecke, Hecke algebra, Hecke algebras, Hilbert, Hilbert space, Hilbert spaces, Homogeneous space, Hyperbolic translation, Infinite tensor product, Inner product, Inner product converges, Involutive, Involutive algebra, Involutive representation, Involutive representations, Isometry, Isomorphism, Isotropy subgroup, Kms1 state, Kmsz, Kmsz state, Kmsz states, Kmsz weights, Latter algebra, Lattice, Lecture notes, Lemma, Linear basis, Linear span, Local field, Matrix, Matrix elements, Modular automorphism group, Module, Multiplicative group, Natural action, Natural basis, Neumann algebra, Normal subgroup, Normalization factor, Number theory, Other words, Parameter group, Partial automorphisms, Partial isometry, Partition function, Phase transition, Phase transitions, Point algebra, Pointwise norm, Polar decomposition, Positive operator, Positive type, Prime number, Prime numbers, Rational numbers, Regular representation, Riemann function, Riemann zeta function, Right convolution, Special case, Spectral subspaces, Spontaneous symmetry, Subgroup, Subset, Symmetry group, Tensor, Tensor product, Tile group, Time evolution, Trivial character, Type iii1, Unique kmsz state, Unit vector, Unitary, Unitary representation, Vector space, Weak closure.
• Teeft :
  • Abelian groups, Academic press, Acts transitively, Additive group, Algebra, Automorphism, Automorphism group, Automorphisms, Base point, Bost, Canonically isomorphic, Characteristic function, Choquet simplex, Closure, Commutant, Compact group, Compact groupoid, Compact operators, Compact ring, Compact space, Compact subgroup, Compact subring, Complex conjugation, Complex numbers, Connes, Connes proposition, Continuous functions, Convolution, Convolution algebra, Critical temperature, Discrete group, Discrete groups, Dixmier trace, Double class, Double classes, Double cosets, Dynamical system, Eigenvalue list, Equivalence classes, Exact sequence, Extreme point, Extreme points, Factor state, Factor states, Finite adeles, Finite field, Finite orbit, Finite places, Finite support, First show, Free energy, Functional analysis, Galois group, Good sense, Group acts, Group ring, Haar, Haar measure, Hecke, Hecke algebra, Hecke algebras, Hilbert, Hilbert space, Hilbert spaces, Homogeneous space, Hyperbolic translation, Infinite tensor product, Inner product, Inner product converges, Involutive, Involutive algebra, Involutive representation, Involutive representations, Isometry, Isomorphism, Isotropy subgroup, Kms1 state, Kmsz, Kmsz state, Kmsz states, Kmsz weights, Latter algebra, Lattice, Lecture notes, Lemma, Linear basis, Linear span, Local field, Matrix, Matrix elements, Modular automorphism group, Module, Multiplicative group, Natural action, Natural basis, Neumann algebra, Normal subgroup, Normalization factor, Number theory, Other words, Parameter group, Partial automorphisms, Partial isometry, Partition function, Phase transition, Phase transitions, Point algebra, Pointwise norm, Polar decomposition, Positive operator, Positive type, Prime number, Prime numbers, Rational numbers, Regular representation, Riemann function, Riemann zeta function, Right convolution, Special case, Spectral subspaces, Spontaneous symmetry, Subgroup, Subset, Symmetry group, Tensor, Tensor product, Tile group, Time evolution, Trivial character, Type iii1, Unique kmsz state, Unit vector, Unitary, Unitary representation, Vector space, Weak closure.

Abstract

• https://api.istex.fr/document/D3699F3F343C31D548EBE061816412B4310428EA/fulltext/pdf

Affiliations:

• France
• Île-de-France
• Bures-sur-Yvette

Links toward previous steps (curation, corpus...)

• to stream Istex, to step Corpus: 002B58
• to stream Istex, to step Curation: 002B58
• to stream Istex, to step Checkpoint: 001A40
• to stream Main, to step Merge: 001C59
• to stream Main, to step Curation: 001C35
• to stream Main, to step Exploration: 001C35
• to stream France, to step Extraction: 000582

Links to Exploration step

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Mathematiques/explor/BourbakiV1/Data/France/Analysis

HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000582 | SxmlIndent | more

Ou

HfdSelect -h $EXPLOR_AREA/Data/France/Analysis/biblio.hfd -nk 000582 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Mathematiques
   |area=    BourbakiV1
   |flux=    France
   |étape=   Analysis
   |type=    RBID
   |clé=     ISTEX:D3699F3F343C31D548EBE061816412B4310428EA
   |texte=   Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory
}}

This area was generated with Dilib version V0.6.33. Data generation: Thu Jul 5 10:00:31 2018. Site generation: Sat Nov 19 17:42:07 2022