A reduced free product of lattices

Chain Conditions in the Distributive Free Product of Lattices

1. Introduction. A typical result of this paper is the following. Let Lt, i e I be distributive lattices satisfying the countable chain condition. Then the free product L of these lattices also satisfies the countable chain condition. To be able to state the general result we need some notations. Let trt be an infinite cardinal. A poset (partially ordered set) P is said to satisfy the m-chain c...

On the Nilpotent Multiplier of a Free Product

About Free Lattices and Free Modular Lattices

Ralph Freese Department of Mathematics University of Hawaii at Manoa Honolulu, Hawaii 96822 In this paper we look at some of the problems on free lattices and free modular lattices which are of an order theoretic nature. We review some of the known results, give same new results, and present several open problems. Every countable partially ordered set can be order embedded into a countable free...

KK-theory of reduced free product C*-algebras

0 Introduction For unital C-algebras endowed with states there is a natural reduced free product construction which generalizes the C-algebra of the regular representation of a free product group. Whereas the question of computing the K-theory and all the various KK-groups is completly understood in the case of discrete groups (see the work of Pimsner in 13]), little is known so far for more ge...

Exactness of Reduced Amalgamated Free Product C {algebras

Some completely positive maps on reduced amalgamated free products of C∗–algebras are constructed, showing that every reduced amalgamated free product of exact C∗–algebras is exact. Consequently, every amalgamated free product of exact discrete groups is exact.