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On the K-theory of the C * -algebra generated by the left regular representation of an Ore semigroup

Joachim CuntzSiegfried EchterhoffXin Li — 2015

Journal of the European Mathematical Society

We compute the K -theory of C * -algebras generated by the left regular representation of left Ore semigroups satisfying certain regularity conditions. Our result describes the K -theory of these semigroup C * -algebras in terms of the K -theory for the reduced group C * -algebras of certain groups which are typically easier to handle. Then we apply our result to specific semigroups from algebraic number theory.

The Least Eigenvalue of Graphs whose Complements Are Uni- cyclic

Yi WangYi-Zheng FanXiao-Xin LiFei-Fei Zhang — 2015

Discussiones Mathematicae Graph Theory

A graph in a certain graph class is called minimizing if the least eigenvalue of its adjacency matrix attains the minimum among all graphs in that class. Bell et al. have identified a subclass within the connected graphs of order n and size m in which minimizing graphs belong (the complements of such graphs are either disconnected or contain a clique of size n/2 ). In this paper we discuss the minimizing graphs of a special class of graphs of order n whose complements are connected and contains...

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