Book chapter
Intrinsic isomorphism invariants for some triangular operator algebras
Selfadjoint and nonselfadjoint operator algebras and operator theory: proceedings of the CBMS regional conference held May 19-26, 1990 at Texas Christian University, Fort Worth, Texas with support from the National Science Foundation, pp.117-121
Contemporary mathematics, 120, American Mathematical Society
07/15/1991
DOI: 10.1090/conm/120/1126282
Abstract
It is shown that if A( P) is the operator algebra associated with a partial order in an amenable, r-discrete, principal groupoid, G, admitting a cover by compact open G-sets, then the order type of P completely determines the isomorphism type of A(P). In particular, A(PI) is isometrically isomorphic to A(P2) if and only if there is a groupoid isomorphism from G1 onto G2 mapping P1 onto P2. The structure of the (isometric) automorphisms of A(P) is determined.
Details
- Title: Subtitle
- Intrinsic isomorphism invariants for some triangular operator algebras
- Creators
- Paul S Muhly - University of Iowa, Statistics and Actuarial ScienceChaoxin QiuBaruch Solel
- Resource Type
- Book chapter
- Publication Details
- Selfadjoint and nonselfadjoint operator algebras and operator theory: proceedings of the CBMS regional conference held May 19-26, 1990 at Texas Christian University, Fort Worth, Texas with support from the National Science Foundation, pp.117-121
- Publisher
- American Mathematical Society; Providence, RI
- Series
- Contemporary mathematics; 120
- DOI
- 10.1090/conm/120/1126282
- Number of pages
- 215
- Language
- English
- Date published
- 07/15/1991
- Academic Unit
- Mathematics; Statistics and Actuarial Science
- Record Identifier
- 9984210532402771
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