Equivariant $E$-Theory for $C^*$-Algebras

Equivariant $E$-Theory for $C^*$-Algebras
Author :
Publisher : American Mathematical Soc.
Total Pages : 101
Release :
ISBN-10 : 9780821821169
ISBN-13 : 0821821164
Rating : 4/5 (69 Downloads)

Book Synopsis Equivariant $E$-Theory for $C^*$-Algebras by : Erik Guentner

Download or read book Equivariant $E$-Theory for $C^*$-Algebras written by Erik Guentner and published by American Mathematical Soc.. This book was released on 2000 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title examines the equivariant e-theory for c*-algebra, focusing on research carried out by Higson and Kasparov. Let A and B be C*-algebras which are equipped with continuous actions of a second countable, locally compact group G. We define a notion of equivariant asymptotic morphism, and use it to define equivariant E-theory groups EULG(A, B) which generalize the E-theory groups of Connes and Higson. We develop the basic properties of equivariant E-theory, including a composition product and six-term exact sequences in both variables, and apply our theory to the problem of calculating K-theory for group C*-algebras. Our main theorem gives a simple criterion for the assembly map of Baum and Connes to be an isomorphism. The result plays an important role in the work of Higson and Kasparov on the Bau m-Connes conjecture for groups which act isometrically and metrically properly on Hilbert space


Equivariant $E$-Theory for $C^*$-Algebras Related Books

Equivariant $E$-Theory for $C^*$-Algebras
Language: en
Pages: 101
Authors: Erik Guentner
Categories: Mathematics
Type: BOOK - Published: 2000 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This title examines the equivariant e-theory for c*-algebra, focusing on research carried out by Higson and Kasparov. Let A and B be C*-algebras which are equip
Equivariant E-theory for C*-algebras
Language: en
Pages: 108
Authors: Erik Guentner
Categories: Mathematics
Type: BOOK - Published: - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Let A and B be C*-algebras which are equipped with continuous actions of a second countable, locally compact group G. We define a notion of equivariant asymptot
Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem
Language: en
Pages: 881
Authors: Michael A. Hill
Categories: Mathematics
Type: BOOK - Published: 2021-07-29 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

A complete and definitive account of the authors' resolution of the Kervaire invariant problem in stable homotopy theory.
The Second Chinburg Conjecture for Quaternion Fields
Language: en
Pages: 146
Authors: Jeff Hooper
Categories: Mathematics
Type: BOOK - Published: 2000 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The Second Chinburg Conjecture relates the Galois module structure of rings of integers in number fields to the values of the Artin root number on the symplecti
Lie Algebras Graded by the Root Systems BC$_r$, $r\geq 2$
Language: en
Pages: 175
Authors: Bruce Normansell Allison
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Introduction The $\mathfrak{g}$-module decomposition of a $\mathrm{BC}_r$-graded Lie algebra, $r\ge 3$ (excluding type $\mathrm{D}_3)$ Models for $\mathrm{BC}_r