# American Institute of Mathematical Sciences

2015, 2015(special): 965-973. doi: 10.3934/proc.2015.0965

## Exact lumping of feller semigroups: A $C^{\star}$-algebras approach

 1 Max-Planck-Institut for Mathematics in the Sciences, Inselstrasse 22, Leipzig, D-04103, Germany

Received  September 2014 Revised  December 2014 Published  November 2015

In this note we analyze a particular exact lumping of Feller semigroups in the context of $C^{\star}$-algebras, in order to pass from a space of functions defined on a locally compact Hausdorff space ${X}$ to a space of functions defined on a closed subspace ${\mathscr{C}}\subset X$. We want our reduction to preserve the essential properties of the Feller semigroup.
Citation: Lavinia Roncoroni. Exact lumping of feller semigroups: A $C^{\star}$-algebras approach. Conference Publications, 2015, 2015 (special) : 965-973. doi: 10.3934/proc.2015.0965
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