Ranges of bimodule projections and conditional expectations / by Robert Pluta.

Format:

Book

Author/Creator:

Pluta, Robert, author.

Language:

English

Subjects (All):

Algebra.

Rings (Algebra).

Physical Description:

1 online resource (212 p.)

Edition:

1st ed.

Place of Publication:

Newcastle upon Tyne : Cambridge Scholars Publishing, 2013.

Language Note:

English

Summary:

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 ranges of (completely) contractive conditional expectations on C*-algebras and on ternary rings of operators, and we investigate when topological properties are consequences of the algebraic assumpt...

Contents:

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

Notes:

Description based upon print version of record.

Includes bibliographical references (pages 194-204).

Description based on print version record.

ISBN:

1-4438-6786-1

OCLC:

892243553