Toeplitz Algebras and Extensions of Irrational Rotation Algebras
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Bibliographic record
Abstract
Abstract For a given irrational number θ, we define Toeplitz operators with symbols in the irrational rotation algebra , and we show that the C*- algebra generated by these Toeplitz operators is an extension of by the algebra of compact operators. We then use these extensions to explicitly exhibit generators of the group KK 1 ( , ℂ). We also prove an index theorem for that generalizes the standard index theorem for Toeplitz operators on the circle.
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| Category | Codex | Gemma |
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| Metaresearch | 0.000 | 0.002 |
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| Insufficient payload (model declined to judge) | 0.009 | 0.001 |
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