9 citations · 24 across the 28 of their papers we have counts for
33 papers
Graded Naimark's Problem for Leavitt Path Algebras
Kulumani M. Rangaswamy, Ashish K Srivastava
In this paper we study the graded version of Naimark's problem for Leavitt path algebras considering them as -graded algebras. Several characterizations are obtained of…
Naimark's Problem for graph C*-algebras and Leavitt path algebras
Kulumani M. Rangaswamy, Mark Tomforde
We describe how boundary paths in a graph can be used to construct irreducible representations of the associated graph C*-algebra and the associated Leavitt path algebra. We use th…
Distinguishing Leavitt algebras among Leavitt path algebras of finite graphs by Serre property
Roozbeh Hazrat, Kulumani M. Rangaswamy
Two unanswered questions in the heart of the theory of Leavitt path algebras are whether Grothendieck group is a complete invariant for the class of unital purely infinite si…
A note on the Diximier-Mouglin Equivalence in Leavitt path algebras of arbitrary graphs over a field
Kulumani M. Rangaswamy
The Dixmier-Moeglin Equivalence (for short, the DM-equivalence) is the equivalence of three distinguishing properties of prime ideals in a non-commutative algebra A. These properti…
Products and Intersections of Prime-Power Ideals in Leavitt Path Algebras
Zachary Mesyan, Kulumani M. Rangaswamy
We continue a very fruitful line of inquiry into the multiplicative ideal theory of an arbitrary Leavitt path algebra L. Specifically, we show that factorizations of an ideal in L…
Variations of primeness and Factorization of ideals in Leavitt Path Algebras
Sarah Aljojani, Katherin Radler, K. M. Rangaswamy +1
In this paper we describe three different variations of prime ideals: strongly irreducible ideals, strongly prime ideals and insulated prime ideals in the context of Leavitt path a…