Journal article
On triangular subalgebras of groupoidC-algebras
Israel journal of mathematics, Vol.71(3), pp.257-273
10/1990
DOI: 10.1007/BF02773745
Abstract
Let ℬ be an AFC*-algebra with Stratila-Voiculescu masaD and letU be a maximal triangular subalgebra of ℬ with diagonalD. Peters, Poon and Wagner showed thatU need not be aC*-subdiagonal subalgebra of ℬ in the sense of Kawamura and Tomiyama. We investigate and explain this phenomena here from the perspective of groupoidC*-algebras by representing257-7 as the “incidence algebra” associated with a topological partial order. A number of examples are given showing what can keep a maximal triangular algebra from beingC*-subdiagonal.
Details
- Title: Subtitle
- On triangular subalgebras of groupoidC-algebras
- Creators
- Paul S MuhlyBaruch Solel
- Resource Type
- Journal article
- Publication Details
- Israel journal of mathematics, Vol.71(3), pp.257-273
- DOI
- 10.1007/BF02773745
- ISSN
- 0021-2172
- eISSN
- 1565-8511
- Language
- English
- Date published
- 10/1990
- Academic Unit
- Statistics and Actuarial Science; Mathematics
- Record Identifier
- 9984083231102771
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