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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2017 Volume 208, Number 10, Pages 59–90 (Mi sm8794)

This article is cited in 14 papers

Trace theorem for quasi-Fuchsian groups

A. Connesa, F. A. Sukochevb, D. V. Zaninb

a Collège de France, Paris, France
b School of Mathematics and Statistics, University of New South Wales, Sydney, Australia

Abstract: We complete the proof of the Trace Theorem in the quantized calculus for quasi-Fuchsian groups which was stated and sketched, but not fully proved, on pp. 322–325 of the book Noncommutative geometry of the first author.
Bibliography: 34 titles.

Keywords: noncommutative geometry, Kleinian groups, geometric measure, singular traces.

UDC: 512.817.2+517.984.48

MSC: Primary 30F40, 58B34; Secondary 47A10

Received: 29.07.2016 and 04.11.2016

DOI: 10.4213/sm8794


 English version:
Sbornik: Mathematics, 2017, 208:10, 1473–1502

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© Steklov Math. Inst. of RAS, 2024