Title: Amalgams of inverse semigroups and $C^*$-algebras
Authors: Allan Donsig, Steven P. Haataja and John C. Meakin
Issue: Volume 60 (2011), Issue 4, 1059-1076
Abstract:
![An amalgam of inverse semigroups $[S,T,U]$ is full if $U$ contains all of the idempotents of $S$ and $T$. We show that for a full amalgam $[S,T,U]$, $C^{*}(S*_UT) \cong C^{*}(S)*_{C^{*}(U)}C^{*}(T)$. Using this result, we describe certain amalgamated free products of $C^{*}$-algebras, including finite-dimensional $C^{*}$-algebras, the Toeplitz algebra, and the Toeplitz $C^{*}$-algebras of graphs.](https://iumj.s3-us-west-2.amazonaws.com/abstracts/4255.png)
Title: Amalgams of inverse semigroups and $C^*$-algebras
Authors: Allan Donsig, Steven P. Haataja and John C. Meakin
Issue: Volume 60 (2011), Issue 4, 1059-1076
Abstract: