A Fredholm Operator Approach To Morita Equivalence

Details A Fredholm Operator Approach To Morita Equivalence A Fredholm Operator Approach To Morita Equivalence

1992-12-31

arxiv.org/abs/funct-an/9212005v1

Mathematics

Operator Algebras

23 pages, Plain TeX, UNM-RE-004

Scientific paper

Given C*-algebras A and B and an imprimitivity A-B-bimodule X, we construct an explicit isomorphism X_* : K_i(A) --> K_i(B) where K_i denote the complex K-theory functors for i=0, 1. Our techniques do not require separability nor existence of countable approximate identities. We thus extend, to general C*-algebras, the result of Brown, Green and Rieffel according to which strongly Morita equivalent C*-algebras have isomorphic K-groups. The method employed includes a study of Fredholm operators on Hilbert modules.

Affiliated with

Also associated with

No associations

Rating

A Fredholm Operator Approach To Morita Equivalence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Fredholm Operator Approach To Morita Equivalence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Fredholm Operator Approach To Morita Equivalence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-329003