C*-algebras associated with endomorphisms of groups

By Felipe Vieira

In 2002, Ilan Hirshberg defined a C*-algebra associated with endomorphisms of abelian groups with finite cokernel. In fact, it was a starting point of new constructions associating C*-algebras to simple objects like groups, semigroups and rings. In this book, we present a natural continuation of that work, we construct the same C*-algebra for endomorphisms with infinite cokernel. We use the subset structure of the group to index interesting projections in the C*-algebra and present interesting connections with the semigroup C*-algebras defined by Xin Li. We also calculate some K-groups associated to such constructions.

• Format: Paperback
• Language: English
• ISBN: 6138825713
• ISBN13: 9786138825715
• Release Date: March 2019
• Publisher: Scholars' Press
• Length: 100 Pages
• Weight: 0.35 lbs.
• Dimensions: 0.2" x 6.0" x 9.0"