The spectral model of (Real) $K$-theory
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913566118903808 |
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| author | Datta, Anupam |
| author_facet | Datta, Anupam |
| contents | We use homotopy theoretic ideas to study the $K$-theory of (graded, Real) $C^*$-algebras in detail. After laying the foundations, and deriving the formal properties, the comparison of the model with the Kasparov picture of $K$-theory has been made, and Bott periodicity has been proven using a Dirac-dual Dirac method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21606 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The spectral model of (Real) $K$-theory Datta, Anupam K-Theory and Homology Operator Algebras We use homotopy theoretic ideas to study the $K$-theory of (graded, Real) $C^*$-algebras in detail. After laying the foundations, and deriving the formal properties, the comparison of the model with the Kasparov picture of $K$-theory has been made, and Bott periodicity has been proven using a Dirac-dual Dirac method. |
| title | The spectral model of (Real) $K$-theory |
| topic | K-Theory and Homology Operator Algebras |
| url | https://arxiv.org/abs/2410.21606 |