Ideals in Toeplitz Algebras
Ronald G. Douglas
TL;DR
This paper characterizes the ideal structure of the Toeplitz C*-algebra on the bidisk, providing insights into its algebraic and topological properties.
Contribution
It offers a complete description of the ideals in the Toeplitz algebra on the bidisk, a problem previously unresolved.
Findings
Explicit description of all ideals in the Toeplitz algebra on the bidisk
Identification of the primitive ideal space
Connections to function theory on the bidisk
Abstract
We determine the ideal structure of the Toeplitz C*-algebra on the bidisk.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Operator Algebra Research · Holomorphic and Operator Theory