A Cantor spectrum diagonal in O_2
Philipp Sibbel, Wilhelm Winter
Abstract
We prove the existence of a C*-diagonal in the Cuntz algebra O_2 with spectrum homeomorphic to the Cantor space.
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A Cantor spectrum diagonal in O_2
Authors
Abstract
We prove the existence of a C*-diagonal in the Cuntz algebra O_2 with spectrum homeomorphic to the Cantor space.
Paper Structure (3 theorems, 16 equations)
This paper contains 3 theorems, 16 equations.
Key Result
Theorem 1
$D^{\otimes \infty}$ is a C$^*$-diagonal in $B^{\otimes \infty}$ with spectrum homeomorphic to the Cantor space, and $B^{\otimes \infty}$ is isomorphic to the Cuntz algebra $\mathcal{O}_2$.
Theorems & Definitions (6)
- Definition
- Theorem
- Lemma 1
- proof
- Lemma 2
- proof