Polynomial growth and property for étale groupoids with applications to -theory

  • Are Austad

    University of Southern Denmark, Odense, Denmark
  • Eduard Ortega

    NTNU, Trondheim, Norway
  • Mathias Palmstrøm

    NTNU, Trondheim, Norway
Polynomial growth and property $\mathrm{RD}_{p}$ for étale groupoids with applications to $K$-theory cover

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Abstract

We investigate property for étale groupoids and apply it to the computation of the -theory of reduced groupoid -operator algebras. In particular, under the assumption of polynomial growth, we show that the -theory groups for a reduced groupoid -operator algebra are independent of . We apply the results to coarse groupoids and graph groupoids.

Cite this article

Are Austad, Eduard Ortega, Mathias Palmstrøm, Polynomial growth and property for étale groupoids with applications to -theory. J. Noncommut. Geom. (2024), published online first

DOI 10.4171/JNCG/571