The spectral measure of certain elements of the complex group ring of a wreath product

Geometriae Dedicata

Volumn 93, Issue 1, 2002, Pages 121-137

  Dicks, Warren ^a   Schick, Thomas ^b  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^b UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

Atiyah conjecture; Lamplighter group; Markov operator; Spectral measure; Wreath product

Indexed keywords

EID: 0036386544     PISSN: 00465755     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1020381532489     Document Type: Article

References (5)

1. Atiyah, M. F.: Elliptic operators, discrete groups and von Neumann algebras, Astérisque 32-33 (1976), 43-72.
2. Baumslag, G.: A finitely presented metabelian group with a free abelian derived group of infinite rank, Proc. Amer. Math. Soc. 35 (1972), 61-62.
3. Grigorchuk, R., Linnell, P., Schick, T. and Zuk, A.: On a question of Atiyah, C. R. Acad. Sci. Ser I Math. 331 (2000), 663-668, earlier version available via http://arxiv.org/abs/math.GT/0009175
4. Grigorchuk, R. and Zuk, A.: The lamplighter group as a group generated by a 2-state automaton, and its spectrum, Geom. Dedicata 87 (2001), 209-244.
5. Hardy, G. H. and Wright, E. M.: An Introduction to the Theory of Numbers, 5th edn, Oxford Univ. Press, 1979.