Semisimplicity and global dimension of a finite von Neumann algebra

Title:

Semisimplicity and global dimension of a finite von Neumann algebra

Creator:

Vaš, Lia

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:f2e45fc6-07d2-496b-b93f-84aa10833fd3
uuid:f2e45fc6-07d2-496b-b93f-84aa10833fd3
doi:10.21136/MB.2007.133990

Subject:

finite von Neumann algebra, algebra of affiliated operators, semisimple ring, and global dimension

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We prove that a finite von Neumann algebra A is semisimple if the algebra of affiliated operators U of A is semisimple. When A is not semisimple, we give the upper and lower bounds for the global dimensions of A and U . This last result requires the use of the Continuum Hypothesis.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

13-26

Source:

Mathematica bohemica | 2007 Volume:132 | Number:1

Harvested from:

CDK

Metadata only:

false