Boolean valued analysis and type I \(AW^*\)-algebras (Q1067558)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Boolean valued analysis and type I \(AW^*\)-algebras |
scientific article; zbMATH DE number 3929723
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boolean valued analysis and type I \(AW^*\)-algebras |
scientific article; zbMATH DE number 3929723 |
Statements
Boolean valued analysis and type I \(AW^*\)-algebras (English)
0 references
1983
0 references
This note is in answer to the question raised by \textit{I. Kaplansky} [Ann. Math., II. Ser. 56, 460-472 (1952; Zbl 0047.357)] whether there is a unique cardinal number attached to a homogeneous \(AW^*\)-algebra of type I. The answer is negative as initially conjectured by him [Am. J. Math. 75, 839-858 (1953; Zbl 0051.091)]. The detailed proof of the result will be published by the author in a latter paper. The method is by way of Boolean valued analysis as developed by Takeuti and Ozawa recently.
0 references
homogeneous \(AW^*\)-algebra of type I
0 references
Boolean valued analysis
0 references
