This monograph fits in the intersection of two long and intertwined stories. The first part of
our story starts in the mid-twentieth century, when it became clear that a new conceptual …

The results that are stated in P. Nystedt and J. Öinert [Group gradations on Leavitt path
algebras, J. Algebra Appl. 19 (9)(2020) 2050165, Sec. 4] hold true, but due to an …

For any unital commutative ring R and for any graph E, we identify a maximal commutative
subalgebra of the Leavitt path algebra of E with coefficients in R. Furthermore, we are able to …

In this article, we realize the finite range ultragraph Leavitt path algebras as Steinberg
algebras. This realization allows us to use the groupoid approach to obtain structural results …

We say that a nonselfadjoint operator algebra is partly free if it contains a free semigroup
algebra. Motivation for such algebras occurs in the setting of what we call free semigroupoid …

Stacky Lie groupoids are generalizations of Lie groupoids in which the “space of arrows” of
the groupoid is a differentiable stack. In this paper, we consider actions of stacky Lie …

In this article, we introduce the notion of near semiring with involution. Generalizing the
theory of semirings we aim at represent quantum structures, such as basic algebras and …

Free path groupoid grading on Leavitt path algebras Page 1 International Journal of Algebra
and Computation Vol. 26, No. 6 (2016) 1217–1235 c© World Scientific Publishing Company …

We introduce a new class of partial actions of free groups on totally disconnected compact
Hausdorff spaces, which we call convex subshifts. These serve as an abstract framework for …

Motivated by the classification problem of left invariant locally flat affine structures on Lie
groups, Segal proved in 1994 a version of the Poincaré–Birkhoff–Witt for universal …