1.

Record Nr.

UNINA9910479902703321

Autore

Bures Donald

Titolo

Abelian subalgebras of von Neumann algebras / / by Donald Bures

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 1971

ISBN

0-8218-9907-4

Descrizione fisica

1 online resource (135 p.)

Collana

Memoirs of the American Mathematical Society ; ; number 110

Soggetti

Functional analysis

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Bibliography: pages 126-127.

Nota di contenuto

""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""