#### References

SHOWING 1-10 OF 56 REFERENCES

Sofic mean dimension

- Mathematics
- 2011

We introduce mean dimensions for continuous actions of countable sofic groups on compact metrizable spaces. These generalize the Gromov-Lindenstrauss-Weiss mean dimensions for actions of countable… Expand

Sofic groups: graph products and graphs of groups

- Mathematics
- 2014

We prove that graph products of sofic groups are sofic, as are graphs of groups for which vertex groups are sofic and edge groups are amenable.

Simple groups without lattices

- Mathematics
- 2012

We show that the group of almost automorphisms of a d-regular tree does not admit lattices. As far as we know, this is the first such example among (compactly generated) simple locally compact groups.

Sofic dimension for discrete measured groupoids

- Mathematics
- 2011

For discrete measured groupoids preserving a probability measure we introduce a notion of sofic dimension that measures the asymptotic growth of the number of sofic approximations on larger and… Expand

On sofic approximations of Property (T) groups

- Mathematics
- 2016

We prove Bowen's conjecture that every sequence of finite graphs that locally converges to the Cayley graph of a countably infinite group with Kazhdan Property (T) is essentially a vertex-disjoint… Expand

Unrestricted wreath products and sofic groups

- Mathematics, Computer Science
- Int. J. Algebra Comput.
- 2019

This work shows that the unrestricted wreath product of aSofic group by an amenable group is sofic and exploits the famous Kaloujnine-Krasner theorem and extends, with an additional argument, to hyperlinear-by-amenable groups. Expand

Hyperlinearity, essentially free actions and L2-invariants. The sofic property

- Mathematics
- 2004

Abstract.We prove that Connes’ Embedding Conjecture holds for the von Neumann algebras of sofic groups, that is sofic groups are hyperlinear. Hence we provide some new examples of hyperlinearity. We… Expand

On approximation properties of semidirect products of groups

- Mathematics
- 2013

Let R be a class of groups closed under taking semidirect products with finite kernel and fully residually R-groups. We prove that R contains all R-by-{finitely generated residually finite} groups.… Expand

Sofic representations of amenable groups

- Mathematics
- 2010

Using probabilistic methods, Collins and Dykema proved that the free product of two sofic groups amalgamated over a monotileably amenable subgroup is sofic as well. We show that the restriction is… Expand

Sofic equivalence relations

- Mathematics
- 2009

We introduce the notion of sofic measurable equivalence relations. Using them we prove that Connes' Embedding Conjecture as well as the Measurable Determinant Conjecture of Luck, Sauer and Wegner… Expand