Zobrazeno 1 - 10
of 146
pro vyhledávání: '"Vdovina, Alina"'
Autor:
Boersema, Jeffrey L, Vdovina, Alina
Using the Evans spectral sequence and its counter-part for real $K$-theory, we compute both the real and complex $K$-theory of several infinite families of $C^*$-algebras based on higher-rank graphs of rank $3$ and $4$. The higher-rank graphs we cons
Externí odkaz:
http://arxiv.org/abs/2407.00298
Autor:
Kharlampovich, Olga, Vdovina, Alina
We answer the question asked by Louder, McReynolds and Patel, and prove the following statement. Let L be a RAAG, H a word quasiconvex subgroup of L, then there is a finite dimensional representation of L that separates the subgroup H in the induced
Externí odkaz:
http://arxiv.org/abs/2403.17964
Autor:
Larsen, Nadia S., Vdovina, Alina
We define $k$-dimensional digraphs and initiate a study of their spectral theory. The $k$-dimensional digraphs can be viewed as generating graphs for small categories called $k$-graphs. Guided by geometric insight, we obtain several new series of $k$
Externí odkaz:
http://arxiv.org/abs/2111.09120
We study the problem $\#\mathrm{EdgeSub}(\Phi)$ of counting $k$-edge subgraphs satisfying a given graph property $\Phi$ in a large host graph $G$. Building upon the breakthrough result of Curticapean, Dell and Marx (STOC 17), we express the number of
Externí odkaz:
http://arxiv.org/abs/2104.14596
We unite elements of category theory, K-theory, and geometric group theory, by defining a class of groups called $k$-cube groups, which act freely and transitively on the product of $k$ trees, for arbitrary $k$. The quotient of this action on the pro
Externí odkaz:
http://arxiv.org/abs/2012.05561
Publikováno v:
In Journal of Pure and Applied Algebra January 2024 228(1)
We construct a family of groups from suitable higher rank graphs which are analogues of the finite symmetric groups. We introduce homological invariants showing that many of our groups are, for example, not isomorphic to $nV$, when $n \geq 2$.
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Externí odkaz:
http://arxiv.org/abs/2010.08960
Autor:
Vdovina, Alina
The most common geometric interpretation of the Yang-Baxter equation is by braids, knots and relevant Reidemeister moves. So far, cubes were used for connections with the third Reidemeister move only. We will show that there are higher-dimensional cu
Externí odkaz:
http://arxiv.org/abs/2007.01163
Autor:
Lawson, Mark V, Vdovina, Alina
We show how to construct a family of groups with simple commutator subgroups from aperiodic 1-vertex, finitely aligned higher rank graphs (which are, in fact, a class of cancellative monoids). Inverse semigroups form the intermediary between these ca
Externí odkaz:
http://arxiv.org/abs/1909.13254
Autor:
Lawson, Mark V, Vdovina, Alina
This paper is a contribution to the theory of what might be termed $0$-dimensional non-commutative spaces. We prove that associated with each inverse semigroup $S$ is a Boolean inverse semigroup presented by the abstract versions of the Cuntz-Krieger
Externí odkaz:
http://arxiv.org/abs/1902.02583