Ranges of Bimodule Projections and Conditional Expectations.

Mostrar otras versiones (2)

The algebraic theory of corner subrings introduced by Lam (as an abstraction of the properties of Peirce corners eRe of a ring R associated with an idempotent e in R) is investigated here in the context of Banach and C*-algebras. We propose a general algebraic approach which includes the notion of r...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Pluta, Robert
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newcastle upon Tyne : Cambridge Scholars Publishing, 2013.
Temas:
Algebra.
Rings (Algebra)
Algèbre.
Anneaux (Algèbre)
algebra.
MATHEMATICS > Algebra > Intermediate.
Algebra
Acceso en línea:Texto completo
Tabla de Contenidos:
  • ACKNOWLEDGEMENTS; CHAPTER 1
  • INTRODUCTION; CHAPTER 2
  • GENERAL THEORY OF CORNER RINGS; 2.1 Definitions and Main Theorems; 2.2 Uniqueness of Complements; 2.3 Annihilators and Split Corners; 2.4 Graphs of Ring Homomorphisms; 2.5 Q is a Dense Corner in R; 2.6 Necessary Condition: Inverse Closure; 2.7 Corners in Regular Rings; 2.8 Corners in Rings with Involution; CHAPTER 3
  • CORNER ALGEBRAS; 3.1 Definitions and Characterization; 3.2 Closed and Non-closed Complements; 3.3 Unitalization; 3.4 Invertibility of 1 + E(x∗x); 3.5 Dense Corners are Unital
  • 3.6 On the Self-adjointness of Corners3.7 Symmetrised Lam Conditional Expectations; 3.8 Hereditary C∗-subalgebras; 3.9 Semisimplicity of Corners in C∗-algebras; 3.10 Ideals and Some Application of Annihilators; 3.11 Separating Spaces; 3.12 Corners Containing Diagonals; 3.13 Corners Containing Diagonals II; 3.14 Spectral Radius; 3.15 Peirce Corners in Prime Algebras; 3.16 Examples of Conditional Expectations; CHAPTER 4
  • TERNARY CORNERS; 4.1 Definitions and Characterization; 4.2 Descent and Transitivity; 4.3 Graphs of TRO Homomorphisms; 4.4 The Finite-dimensional Case and Injectivity
  • 4.5 Row and Column Spaces4.6 Characterization of Row and Column Spaces; 4.7 Tripotents and Peirce Spaces; CHAPTER 5
  • CORNERS IN C (K); 5.1 Retracts in Compact and Locally Compact Spaces; 5.2 Sigma-algebra of Sets and Commutative Algebras; 5.3 Algebras of Continuous Functions and Measures; 5.4 Common Zeros; 5.5 Discontinuous Conditional Expectations; 5.6 Review of Results on Automatic Continuity; 5.7 Closure Question
  • Commutative Case; 5.8 Existence of Bounded Conditional Expectations
  • Commutative Case; 5.9 Remarks on the Non-commutative Case; CHAPTER 6
  • ADDENDUM.
  • 6.1 Complete Boundedness of Bimodule Maps6.2 AW∗-TROs; 6.3 Type Decomposition of AW∗-TROs; BIBLIOGRAPHY

Ejemplares similares