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arXiv · 1708.01982

K-theory of group Banach algebras and Banach property RD

Benben Liao·Guoliang Yu
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Abstract

We investigate Banach algebras of convolution operators on the $L^p$ spaces of a locally compact group, and their K-theory. We show that for a discrete group, the corresponding K-theory groups depend continuously on $p$ in an inductive sense. Via a Banach version of property RD, we show that for a large class of groups, the K-theory groups of the Banach algebras are independent of $p$.

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BibTeXRIS

Benben Liao, Guoliang Yu. 2017-08-07. K-theory of group Banach algebras and Banach property RD. https://arxiv.org/abs/1708.01982

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