Some geometric groups with Rapid Decay

By Indira Chatterji, Kim Ruane. 2003

81 citations recorded by the source corpus.

Abstract.We explain simple methods to establish the property of Rapid Decay for a number of groups arising geometrically. Those lead to new examples of groups with the property of Rapid Decay, notably including non-cocompact lattices in rank one Lie groups.

View Paper: https://www.semanticscholar.org/paper/63f4bfe6e372dd003adfe70f1e8ae15147be8d2b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Citations in the corpus

Random walks on co-compact fuchsian groups (2013, unknown): “For the lower bound one uses Property RD (see for instance [16], and especially Proposition 1.”
Limit groups for relatively hyperbolic groups. I. The basic tools (2004, background): “For further recent work on relatively hyperbolic groups, see Alibegović [1], Yaman [50], Druţu and Sapir [17; 16; 18], Dahmani [13], Groves and Manning [25], Osin [34] and Chatterji and Ruane [10] (among others).”
Hadamard spaces with isolated flats (2004, methodology): “We make use of these formulations in the proof of Theorem 5.2.5, which establishes the last remaining equivalence (1) ⇐⇒ (2) of Theorem 1.2.1.”
Property A and CAT(0) cube complexes (2009, background): “intervals into intervals in Rd. The fact that that this can be done is folklore, (compare [ CR05 ]), but apparently no complete proof exists in the literature.”