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arXiv · 1103.0899

Projective freeness of algebras of real symmetric functions

Amol Sasane
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Abstract

Let D^n be the closed unit polydisk in C^n. Consider the ring C_r of complex-valued continuous functions on D^n that are real symmetric, that is, f(z)=(f(z^*))^* for all z in D^n. It is shown that C_r is projective free, that is, finitely generated projective modules over C_r are free. We also show that several subalgebras of the real symmetric polydisc algebra are projective free.

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Amol Sasane. 2013-03-11. Projective freeness of algebras of real symmetric functions. https://arxiv.org/abs/1103.0899

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