Infinitely presented small cancellation groups have the Haagerup property
نویسندگان
چکیده
منابع مشابه
The Haagerup property for locally compact quantum groups
The Haagerup property for locally compact groups is generalised to the context of locally compact quantum groups, with several equivalent characterisations in terms of the unitary representations and positive-definite functions established. In particular it is shown that a locally compact quantum group G has the Haagerup property if and only if its mixing representations are dense in the space ...
متن کاملHaagerup Property for Algebraic Groups over Local Fields
We classify, among the linear algebraic groups over a local field of characteristic zero, those that have the Haagerup property (also called a-(T)-menability). Our method relies essentially on a discussion on the existence of a subgroup isomorphic, up to a finite covering, to the semidirect product of SL2 by an irreducible representation, or a one-dimensional central extension of an even-dimens...
متن کاملThe Haagerup property, Property (T) and the Baum-Connes conjecture for locally compact Kac-Moody groups
We indicate which symmetrizable locally compact affine or hyperbolic Kac-Moody groups satisfy Kazhdan’s Property (T), and those that satisfy its strong negation, the Haagerup property. This reveals a new class of hyperbolic Kac-Moody groups satisfying the Haagerup property, namely symmetrizable locally compact Kac-Moody groups of rank 2 or of rank 3 noncompact hyperbolic type. These groups thus...
متن کاملThe Burnside Groups and Small Cancellation Theory
In a pair of recent articles, the author develops a general version of small cancellation theory applicable in higher dimensions ([5]), and then applies this theory to the Burnside groups of sufficiently large exponent ([6]). More specifically, these articles prove that the free Burnside groups of exponent n ≥ 1260 are infinite groups which have a decidable word problem. The structure of the fi...
متن کاملLocal Similarities and the Haagerup Property
A new class of groups, the locally finitely determined groups of local similarities on compact ultrametric spaces, is introduced and it is proved that these groups have the Haagerup property (that is, they are a-T-menable in the sense of Gromov). The class includes Thompson’s groups, which have already been shown to have the Haagerup property by D. S. Farley, as well as many other groups acting...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Topology and Analysis
سال: 2015
ISSN: 1793-5253,1793-7167
DOI: 10.1142/s1793525315500144