TY - JOUR
T1 - L∞ eigenvalues and L2 spectra of non-singular transformations
AU - Aaronson, Jon
AU - Nadkarni, Mahendra
N1 - Funding Information:
Research of the first author partially supported by NSERC grants A3974 and A8815, and that of the second author partially supported by NSERC grants A3049, A3974, A8213, A8600, and A8956.
PY - 1987/11
Y1 - 1987/11
N2 - There is a natural interplay between the L∞ eigenvalue group of a non-singular transformation and its L2 spectra via systems of imprimitivity. This aids us, on the one hand, to compute some new eigenvalue groups together with their natural Polish topologies, and, on the other, to prove a result on the extension of cocycles. Prime group rotations preserving infinite measures are constructed. Other eigenvalue groups are also considered, and information is gleaned about their underlying transformations from the nature of their duals.
AB - There is a natural interplay between the L∞ eigenvalue group of a non-singular transformation and its L2 spectra via systems of imprimitivity. This aids us, on the one hand, to compute some new eigenvalue groups together with their natural Polish topologies, and, on the other, to prove a result on the extension of cocycles. Prime group rotations preserving infinite measures are constructed. Other eigenvalue groups are also considered, and information is gleaned about their underlying transformations from the nature of their duals.
UR - http://www.scopus.com/inward/record.url?scp=0001170225&partnerID=8YFLogxK
U2 - 10.1112/plms/s3-55.3.538
DO - 10.1112/plms/s3-55.3.538
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AN - SCOPUS:0001170225
SN - 0024-6115
VL - s3-55
SP - 538
EP - 570
JO - Proceedings of the London Mathematical Society
JF - Proceedings of the London Mathematical Society
IS - 3
ER -