Abstract
We prove a number of results on the automorphisms and isomorphisms between Hardy–Toeplitz algebras T(D) associated to bounded symmetric domains D: that the stable isomorphism class of T (D) determines D (even when it is reducible), that for reducible domains (Formula Presented) Ds the automorphisms of the Shilov boundary S(D) induced by those of T (D) permute the Shilov boundaries S(Di), and that by contrast to arbitrary solvable algebras, automorphisms of T (D) that are trivial on their character spaces S (D) are trivial on the entire spectrumT (D).
| Original language | English |
|---|---|
| Pages (from-to) | 295-317 |
| Number of pages | 23 |
| Journal | Journal of Operator Theory |
| Volume | 87 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2022 |
Keywords
- Bounded symmetric domain
- Jordan triple system
- Shilov boundary
- Solvable c,-algebra
- Spectrum
- Toeplitz c,-algebra
- Tripotent
- Tube-type
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