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Equivariant E Theory for C Algebras Book PDF Summary

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

Detail Book of Equivariant E Theory for C Algebras PDF

Equivariant  E  Theory for  C    Algebras
  • Author : Erik Guentner
  • Release : 20 September 2024
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821821169
  • Genre : Mathematics
  • Total Page : 101 pages
  • Language : English
  • PDF File Size : 10,5 Mb

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