The $K$ -theory of the Compact Quantum Group $SU_q(2)$ for $q=-1$

preprint2015arXivOpen access

We determine the $K$ -theory of the $C^{*}$ -algebra $C(SU_{-1}(2))$ and describe its spectrum. Moreover, we exhibit a continuous $C^{*}$ -bundle over $[-1,0)$ whose fibre at $q$ is isomorphic to $C(SU_{q}(2))$ .

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The $K$ -theory of the Compact Quantum Group $SU_q(2)$ for $q=-1$

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The KKK-theory of the Compact Quantum Group SUq(2)SU_q(2)SUq​(2) for q=−1q=-1q=−1

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The $K$ -theory of the Compact Quantum Group $SU_q(2)$ for $q=-1$