Tensor Products and Regularity Properties of Cuntz Semigroups

Tensor Products and Regularity Properties of Cuntz Semigroups
Author :
Publisher : American Mathematical Soc.
Total Pages : 206
Release :
ISBN-10 : 9781470427979
ISBN-13 : 1470427974
Rating : 4/5 (974 Downloads)

Book Synopsis Tensor Products and Regularity Properties of Cuntz Semigroups by : Ramon Antoine

Download or read book Tensor Products and Regularity Properties of Cuntz Semigroups written by Ramon Antoine and published by American Mathematical Soc.. This book was released on 2018-02-23 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Cuntz semigroup of a -algebra is an important invariant in the structure and classification theory of -algebras. It captures more information than -theory but is often more delicate to handle. The authors systematically study the lattice and category theoretic aspects of Cuntz semigroups. Given a -algebra , its (concrete) Cuntz semigroup is an object in the category of (abstract) Cuntz semigroups, as introduced by Coward, Elliott and Ivanescu. To clarify the distinction between concrete and abstract Cuntz semigroups, the authors call the latter -semigroups. The authors establish the existence of tensor products in the category and study the basic properties of this construction. They show that is a symmetric, monoidal category and relate with for certain classes of -algebras. As a main tool for their approach the authors introduce the category of pre-completed Cuntz semigroups. They show that is a full, reflective subcategory of . One can then easily deduce properties of from respective properties of , for example the existence of tensor products and inductive limits. The advantage is that constructions in are much easier since the objects are purely algebraic.


Tensor Products and Regularity Properties of Cuntz Semigroups Related Books

Tensor Products and Regularity Properties of Cuntz Semigroups
Language: en
Pages: 206
Authors: Ramon Antoine
Categories: Mathematics
Type: BOOK - Published: 2018-02-23 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The Cuntz semigroup of a -algebra is an important invariant in the structure and classification theory of -algebras. It captures more information than -theory b
On Non-Generic Finite Subgroups of Exceptional Algebraic Groups
Language: en
Pages: 168
Authors: Alastair J. Litterick
Categories: Mathematics
Type: BOOK - Published: 2018-05-29 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The study of finite subgroups of a simple algebraic group $G$ reduces in a sense to those which are almost simple. If an almost simple subgroup of $G$ has a soc
Szego Kernel Asymptotics for High Power of CR Line Bundles and Kodaira Embedding Theorems on CR Manifolds
Language: en
Pages: 154
Authors: Chin-Yu Hsiao
Categories: Mathematics
Type: BOOK - Published: 2018-08-09 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Let X be an abstract not necessarily compact orientable CR manifold of dimension 2n−1, n⩾2, and let Lk be the k-th tensor power of a CR complex line bundle
Holomorphic Automorphic Forms and Cohomology
Language: en
Pages: 182
Authors: Roelof Bruggeman
Categories: Mathematics
Type: BOOK - Published: 2018-05-29 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Elliptic PDEs on Compact Ricci Limit Spaces and Applications
Language: en
Pages: 104
Authors: Shouhei Honda
Categories: Mathematics
Type: BOOK - Published: 2018-05-29 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

In this paper the author studies elliptic PDEs on compact Gromov-Hausdorff limit spaces of Riemannian manifolds with lower Ricci curvature bounds. In particular