Unit Vectors, Morita Equivalence and Endomorphisms

Details Unit Vectors, Morita Equivalence and Endomorphisms Unit Vectors, Morita Equivalence and Endomorphisms

2004-12-12

arxiv.org/abs/math/0412231v5

Mathematics

Operator Algebras

Far reaching revision. Includes a new proof of our W*-version of Hirshberg's result and, finally, a simple proof of Hirshberg'

Scientific paper

We solve two problems in the theory of correspondences that have important implications in the theory of product systems. The first problem is the question whether every correspondence is the correspondence associated (by the representation theory) with a unital endomorphism of the algebra of all adjointable operators on a Hilbert module. The second problem is the question whether every correspondence allows for a nondegenerate faithful representation on a Hilbert space. We also resolve an extension problem for representations of correspondences and we provide new efficient proofs of several well-known statements in the theory of representations of W*-algebras.

Affiliated with

Also associated with

No associations

Rating

Unit Vectors, Morita Equivalence and Endomorphisms 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 Unit Vectors, Morita Equivalence and Endomorphisms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unit Vectors, Morita Equivalence and Endomorphisms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-115729