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

Released on by Erik Guentner
preview-18

  • Equivariant $E$-Theory for $C^*$-Algebras Book Detail

  • Author : Erik Guentner
  • Release Date : 2000
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 101
  • ISBN 13 : 0821821164
  • File Size : 54,54 MB
DOWNLOAD BOOK

Equivariant $E$-Theory for $C^*$-Algebras by Erik Guentner PDF Summary

Book Description: 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

Disclaimer: www.yourbookbest.com does not own Equivariant $E$-Theory for $C^*$-Algebras books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

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

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

File Size : 16,16 MB
Total View : 5602 Views
DOWNLOAD

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

C*-algebras and Elliptic Theory

C*-algebras and Elliptic Theory

File Size : 72,72 MB
Total View : 8826 Views
DOWNLOAD

This book consists of reviewed original research papers and expository articles in index theory (especially on singular manifolds), topology of manifolds, opera