Affine Representations Of Grothendieck Groups And Applications To Rickart C Ast Algebras And Aleph 0 Continuous Regular Rings
Download Affine Representations Of Grothendieck Groups And Applications To Rickart C Ast Algebras And Aleph 0 Continuous Regular Rings PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Affine Representations Of Grothendieck Groups And Applications To Rickart C Ast Algebras And Aleph 0 Continuous Regular Rings book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Affine Representations of Grothendieck Groups and Applications to Rickart $C^\ast $-Algebras and $\aleph _0$-Continuous Regular Rings
Author: K. R. Goodearl
language: en
Publisher: American Mathematical Soc.
Release Date: 1980
This paper is concerned with the structure of three interrelated classes of objects: partially ordered abelian groups with countable interpolation, [Hebrew]Aleph0-continuous regular rings, and finite Rickart C*-algebras. The connection from these rings and algebras to these groups is the Grothendieck group K0, which, for all [Hebrew]Aleph0-continuous regular rings and most finite Rickart C*-algebras, is a partially ordered abelian group with countable interpolation. Such partially ordered groups are shown to possess quite specific representations in spaces of affine continuous functions on Choquet simplices. The theme of this paper is to develop the structure theory of these groups and these representations, and to translate the results, via K0, into properties of [Hebrew]Aleph0-continuous regular rings and finite Rickart C*-algebras.
Affine Representations of Grothendieck Groups and Applications to Rickart C*-algebras and [Hebrew]Aleph0-continuous Regular Rings
This paper is concerned with the structure of three interrelated classes of objects: partially ordered abelian groups with countable interpolation, [Hebrew]Aleph0-continuous regular rings, and finite Rickart C*-algebras. The connection from these rings and algebras to these groups is the Grothendieck group K0, which, for all [Hebrew]Aleph0-continuous regular rings and most finite Rickart C*-algebras, is a partially ordered abelian group with countable interpolation. Such partially ordered groups are shown to possess quite specific representations in spaces of affine continuous functions on Choquet simplices. The theme of this paper is to develop the structure theory of these groups and these representations, and to translate the results, via K0, into properties of [Hebrew]Aleph0-continuous regular rings and finite Rickart C*-algebras.