As the awning suggests the building on the left is a “bakery/pastry show/tea room/coffee shop”. The building on the right it the Troinex “Mairie” i.e. Town Hall. It was hot day and I’d been walking for a while so stopping for a cold drink would have been pleasant. In the US (or at least the part where I live) this would have been a problem as I had the dog with me. However, most restaurants/cafes in Geneva let you bring in dogs. Unfortunately I’d forgotten to bring my wallet and so didn’t have any money to buy the drink I badly wanted.

According to the town’s website Troinex has a rich history (translated from the original French):

The name Troinex appears for the first time in the form of Triuniscum, which could derive from the Gallo-Roman name Trionius
 
…

The Romans also built and lived in Troinex, as some vestiges suggest that there was a “rustica” villa at the “Troinex-Ville”, a large rural farm, surrounded by a few farms, farms and other outbuildings.
 
During the Middle Ages, Troinex depended on the priory of Saint-Victor, with Bossey and Evordes. The influence of Geneva was constant, and remained there against the winds and tides of the seventeenth and eighteenth centuries, during the reconquest of Catholicism under the influence of Francis de Sales.
 
In 1754, Troinex became Savoyard before returning to Geneva in 1815. The treaty of May 30, 1817, was an autonomous municipality which at that time had barely 300 inhabitants.

Another view of the Town Hall. I’d heard of such buildings in France being referred to as either “Hotel de Ville” or “Mairie”. I wasn’t sure if there was difference so I looked it up. Apparently “Hotel de Ville” is a much older usage, dating back to the Middle Ages. The term “Mairie” wasn’t used until the late 18th Century. Nowadays “Hotel de Ville” usually refers to such a building in a large town or city, while “Mairie” refers to a building with a similar function, but in a smaller town or village.

Wisteria growing on one of the Town Hall buildings. It’s very pretty. We have some at our house in Briarcliff Manor. It looks great when it blooms, but if you’re not at all careful it takes over the garden. The roots go very deep into the ground and are almost impossible to remove.