Let $G$ be a split connected reductive group over $\mathbb{Z}$. $F$ non-archimedean local field. With $K_m: = Ker(G(\mathfrak{O}_F) \rightarrow G(\mathfrak{O}_F/\mathfrak{p}_F^m))$, Kazhdan proved that for field $F'$sufficiently close to $F$, the Hecke algebras $\mathcal{H}(G(F),K_m)$ and $\mathcal{H}(G(F'),K_m')$ are isomorphic, where $K_m'$ denotes corresponding object $F'$. In this article, ...

In this paper, we compute the Hecke action of a certain test function on space an unramified principal series connected reductive group over non-archimedean local field. The key our computation is theory Iwahori–Hecke algebra. As application, obtain new expression L-functions representations.

Local Completeness Logic (LCL) has been put forward as a program logic for proving both the correctness and incorrectness of specifications. LCL is an abstract logic, parameterized by domain that allows combining over- under-approximations behaviors. It turns out instantiated to trivial singleton abstraction boils down O’Hearn which us prove presence bugs. recently proved suitable extensions Kl...

In this paper, we show that every separable simple tracially approximately divisible C ? $C^*$ -algebra has strict comparison, and it is either purely infinite or stable rank one. As a consequence, (non-unital) finite Z ${\cal Z}$ -stable