S. Pooya

activity

20092022

most citedK-homology and K-theory for the lamplighter groups of finite groups

7 citations · 16 across the 7 of their papers we have counts for

collaborators

7 papers

math.OA2022

Equivariant K-homology and K-theory for some discrete planar affine groups

Ramon Flores, Sanaz Pooya, Alain Valette

We consider the semi-direct products $G = Z^{2} ⋊ G L_{2} (Z), Z^{2} ⋊ S L_{2} (Z)$ and $Z^{2} ⋊ Γ (2)$ (where $Γ (2)$ is the congruence subgrou…

math.OA2020

Higher Kazhdan projections, $ℓ_{2}$ -Betti numbers and Baum-Connes conjectures

Kang Li, Piotr W. Nowak, Sanaz Pooya

We introduce higher-dimensional analogs of Kazhdan projections in matrix algebras over group $C^{*}$ -algebras and Roe algebras. These projections are constructed in the framework of…

math.OA2017★ 4 cited

K-theory and K-homology of the wreath products of finite with free groups

Sanaz Pooya

Consider the wreath product $Γ = F ≀ F_{n} = ⨁_{F_{n}} F ⋊ F_{n}$ , with $F$ a finite group and $F_{n}$ the free group on $n$ generators. We s…

math.OA2016★ 7 cited

K-homology and K-theory for the lamplighter groups of finite groups

Ramón Flores, Sanaz Pooya, Alain Valette

Let $F$ be a finite group. We consider the lamplighter group $L = F ≀ Z$ over $F$ . We prove that $L$ has a classifying space for proper actions $E L$ which is a…

math.OA2016★ 2 cited

K-theory for the $C^{*}$ -algebras of the solvable Baumslag-Solitar groups

Sanaz Pooya, Alain Valette

We provide a new computation of the K-theory of the group $C^{*}$ -algebra of the solvable Baumslag-Solitar group $B S (1, n) (n \neq = 1)$ ; our computation is based on the Pimsner-Voicule…

math.FA2014★ 3 cited

Simple reduced $L^{p}$ operator crossed products with unique trace

Sanaz Pooya, Shirin Hejazian

In this article we study simplicity and traces of reduced $L^{p}$ operator crossed products $F_{r}^{p} (G, A, α)$ . Given $p \in (1, \infty)$ , let $G$ be a Powers group, and let…

math.RA2009

Generalized Pascal Triangles and Toeplitz Matrices

A. R. Moghaddamfar, S. M. H. Pooya

The purpose of this article is to study determinants of matrices which are known as generalized Pascal triangles (see [1]). We present a factorization by expressing such a matrix a…