Guillermo Cortiñas

activity

19952024

most cited

K

-theory of Leavitt path algebras

42 citations · 240 across the 49 of their papers we have counts for

collaborators

Showing math.RAShow all

6 papers · 1 filter

math.RA2021

Nonexistence of graded unital homomorphisms between Leavitt algebras and their Cuntz splices

Guido Arnone, Guillermo Cortiñas

Let $n \geq 2$ , let $R_{n}$ be the graph consisting of one vertex and $n$ loops and let $R_{n^{-}}$ be its Cuntz splice. Let $L_{n} = L (R_{n})$ and $L_{n^-}=L(\ma…

math.RA2021

Classifying Leavitt path algebras up to involution preserving homotopy

Guillermo Cortiñas

We prove that the Bowen-Franks group classifies the Leavitt path algebras of purely infinite simple finite graphs over a regular supercoherent commutative ring with involution wher…

math.RA2018★ 7 cited

Homotopy classification of Leavitt path algebras

Guillermo Cortiñas, Diego Montero

In this paper we address the classification problem for purely infinite simple Leavitt path algebras of finite graphs over a field $ℓ$ . Each graph $E$ has associated a Leavitt p…

math.RA2011★ 19 cited

Tensor products of Leavitt path algebras

Pere Ara, Guillermo Cortiñas

We compute the Hochschild homology of Leavitt path algebras over a field $k$ . As an application, we show that $L_{2}$ and $L_{2} \otimes L_{2}$ have different Hochschild homologies, and s…

math.RA2009

Algebraic Geometry of Topological Spaces I

Guillermo Cortiñas, Andreas Thom

We use techniques from both real and complex algebraic geometry to study K-theoretic and related invariants of the algebra C(X) of continuous complex-valued functions on a compact…

math.RA2000★ 1 cited

The structure of smooth algebras in Kapranov's framework for noncommutative geometry

Guillermo Cortiñas

In Kapranov, M. {\it Noncommutative geometry based on commutator expansions,} J. reine angew. Math {\bf 505} (1998) 73-118, a theory of noncommutative algebraic varieties was propo…