Journal article
Morita transforms of tensor algebras
New York journal of mathematics, Vol.17A, pp.87-100
01/01/2011
Abstract
We show that if M and N are C*-algebras and if E (resp. F) is a C*-correspondence over M (resp. N), then a Morita equivalence between (E, M) and (F, N) implements an isometric functor between the categories of Hilbert modules over the tensor algebras of T+(E) and T+(F). We show that this functor maps absolutely continuous Hilbert modules to absolutely continuous Hilbert modules and provides a new interpretation of Popescu's reconstruction operator.
Details
- Title: Subtitle
- Morita transforms of tensor algebras
- Creators
- Paul S. Muhly - Univ Iowa, Dept Math, Iowa City, IA 52242 USABaruch Solel - Technion – Israel Institute of Technology
- Resource Type
- Journal article
- Publication Details
- New York journal of mathematics, Vol.17A, pp.87-100
- Publisher
- Electronic Journals Project
- ISSN
- 1076-9803
- eISSN
- 1076-9803
- Number of pages
- 14
- Grant note
- Lowengart Research Fund U.S.-Israel Binational Science Foundation; US-Israel Binational Science Foundation
- Language
- English
- Date published
- 01/01/2011
- Academic Unit
- Statistics and Actuarial Science; Mathematics
- Record Identifier
- 9984397938502771
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