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arXiv · 1006.1742

K-groups of the quantum homogeneous space $SU_{q}(n)/SU_{q}(n-2)$

Partha Sarathi Chakraborty·S. Sundar
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Abstract

Quantum Steiffel manifolds were introduced by Vainerman and Podkolzin in \cite{VP}. They classified the irreducible representations of their underlying $C^*$-algebras. Here we compute the K groups of the quantum homogeneous spaces $SU_{q}(n)/SU_{q}(n-2), n\ge 3$. Specializing to the case $n=3$ we show that the fundamental unitary for quantum $SU(3)$ is nontrivial and is a unimodular element in $K_1$.

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BibTeXRIS

Partha Sarathi Chakraborty, S. Sundar. 2010-06-09. K-groups of the quantum homogeneous space $SU_{q}(n)/SU_{q}(n-2)$. https://arxiv.org/abs/1006.1742

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