Abelian subalgebras of von Neumann algebras / by Donald Bures.

Format:

Book

Author/Creator:

Bures, Donald, author.

Series:

Memoirs of the American Mathematical Society ; no. 110.

Memoirs of the American Mathematical Society ; number 110

Language:

English

Subjects (All):

Functional analysis.

Physical Description:

1 online resource (135 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 1971.

Language Note:

English

Contents:

""Contents""; ""Â0 Remarks on notation""; ""PART I: Multiplicity in factors of Type II[sub(1)]""; ""Â1 The multiplicity of a projection""; ""Â2 The normal case""; ""Â3 The general case""; ""PART II: The von Neumann construction of factors""; ""Â4 m-groups with m abelian""; ""Â5 m-groups""; ""Â6 Subalgebras m of G with G strongly finite over m""; ""Â7 Substantial subalgebras""; ""Â 8 Relations between the type of G and the type of G(G, m)""; ""Â9 Construction of G containing a substantial subalgebra m with G(G , m) a given full m-group""; ""PART III: Thick subalgebras""

""Â 10 Elementary properties""""Â 11 Strong orthogonality""; ""Â 12 A method for constructing thick subalgebras""; ""Â 13 Methods for determining the deficiency type and the multiplicity function""; ""Â14 Dixmier's example""; ""Â15 Some examples of thick subalgebras""

Notes:

Description based upon print version of record.

Bibliography: pages 126-127.

Description based on print version record.

ISBN:

0-8218-9907-4