A groupoid picture of the elek algebras
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A groupoid picture of the elek algebras. / Borys, Clemens.
In: Mathematica Scandinavica, Vol. 127, No. 2, 2021, p. 185-208.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - A groupoid picture of the elek algebras
AU - Borys, Clemens
N1 - Publisher Copyright: © 2021 Mathematica Scandinavica. All rights reserved.
PY - 2021
Y1 - 2021
N2 - We reformulate a construction by Gabor Elek, which associates C*-algebras with uniformly recurrent subgroups, in the language of groupoid C*-algebras. This allows us to simplify several proofs from the original paper and add the converse direction to Elek's characterisation of nuclearity, showing that his sufficient condition is in fact necessary.We furthermore relate our groupoids to the dynamics of the group acting on its uniformly recurrent subgroup.
AB - We reformulate a construction by Gabor Elek, which associates C*-algebras with uniformly recurrent subgroups, in the language of groupoid C*-algebras. This allows us to simplify several proofs from the original paper and add the converse direction to Elek's characterisation of nuclearity, showing that his sufficient condition is in fact necessary.We furthermore relate our groupoids to the dynamics of the group acting on its uniformly recurrent subgroup.
UR - http://www.scopus.com/inward/record.url?scp=85118169815&partnerID=8YFLogxK
U2 - 10.7146/math.scand.a-122419
DO - 10.7146/math.scand.a-122419
M3 - Journal article
AN - SCOPUS:85118169815
VL - 127
SP - 185
EP - 208
JO - Mathematica Scandinavica
JF - Mathematica Scandinavica
SN - 0025-5521
IS - 2
ER -
ID: 284294861