I need the name of a posh American coffee machine, pretty please!

I'd suggest that the poshest coffee machines are Italian or Dutch.

How bout any of these?

http://www.apartmenttherapy.com/the-best-in-coffee-espresso-ma-104887

If you owned a Technivorm in 2009, you would definitely impress coffee aficionados, but the brand name wouldn't mean much to the average coffee drinker. and while it was expensive for an automatic drip coffee maker, it wasn't gaspingly expensive. As a mid-level coffee geek at the time, I would have raised my eyebrows for a Rancilio Silvia espresso machine in someone's kitchen. Especially if paired with a Rancilio Rocky grinder, which of course, it would be. (It was a status thing to be able to afford both, although a lot of people I knew at the time would buy Sylvia first with a cheaper grinder and save up for Rocky.) Rancilio sold "Sylvia and Rocky" as a duo for a slightly reduced price, but the pair would run around a thousand dollars at the time, and slightly more today.

Elegant Elektra Belle Epoque

Not sure if they were around in 2009, but who cares? It's not like 99.999% of people would know that.

Drachen Jager said:

Elegant Elektra Belle Epoque

Not sure if they were around in 2009, but who cares? It's not like 99.999% of people would know that.

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R2D2 on steroids and gilded with gold! I love it.

Electras have been around for decades, but the one you picture is designed for restaurant use and would probably cost over five grand. I'd say it would make a statement in anyone's home!

How about an (automatic) espresso maker? Does it sound more fashionable? I've heard good things about this Delonghi brand and a model I previously bookmarked cost $1,500, seems very posh to me. But chances are 99% of the readers won't know this brand. Espresso maker, they should know.

DeLonghi, Giotto, Gaggia. How about one of those old-style ones with the brass eagle on top?

Hm. To avoid using brand names, you might just toss in "super-automatic". Those are the fancy ones that grind, tamp, and draw, and have a steam wand on the sides. You pushes a button, you gets your espresso.

How high-end are you looking? Breville is pretty quality and makes a good range of better stuff... I'd use a decent name and then add a descriptor, like, with it's own grinder and spout (I know someone owns an espresso maker with the grinder and spout that's likely around $1000-1500 - it's some Italian brand with a T - but you can get them cheaper).

Bing Z said:

How about an (automatic) espresso maker? Does it sound more fashionable? I've heard good things about this Delonghi brand and a model I previously bookmarked cost $1,500, seems very posh to me. But chances are 99% of the readers won't know this brand. Espresso maker, they should know.

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Delonghi is so mainstream I'd think most people have heard of them. They make tons of small kitchen appliances, mostly mid-grade.

Los Pollos Hermanos said:

The back story is that some detectives had their incident room refurbished and they all decided to chip in for a decent coffee maker. Another detective visits as the case being investigated spans two jurisdictions. He notices the coffee maker in passing (they have to make do with a crappy vending machine in his archaic police station, unless they brew their own) and feels the green-eyed monster tighten its grip.

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(feels nostalgic for Where in the World is Carmen Sandiego?)

You could do something along the lines of: "Detective Doe stopped short at the sight of the gleaming super-automatic espresso machine, perched incongruously on top of a government-issued two-drawer file cabinet. 'You guys have a Gaggia? What, did one of you win the lottery?'"

Ketzel said:

You could do something along the lines of: "Detective Doe stopped short at the sight of the gleaming super-automatic espresso machine, perched incongruously on top of a government-issued two-door file cabinet. 'You guys have a Gaggia? What, did one of you win the lottery?'"

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Or if he is snotty and unfriendly (and not afraid of having hot coffee in his face), "Did Mara or the Bloods sponsor it?"

Look at the espresso-maker page at William-Sonoma. (High-end housewares catalog shop, if you're not familiar with them.)

Scroll down to "Fully automatic espresso machines" for some super-expensive models. These are the current items, but the ones available in 2009 were pretty similar, from the same companies.

Dug up this story for you from a 2008 Wired magazine article:

http://www.wired.com/2008/07/mf-clover/

"The Clover coffeemaker debuted in a handful of cafés in 2006 and was promptly hailed as the best thing to happen to coffee lovers since the car cup holder. With an $11,000 asking price, the Clover has become a fetish object among the coffee-obsessed."

I like this and I do similar things in my worldbuilding.
But, I do it by creating a new word from the culture and word association.
Since, the OP did not specify a real-world name only, I will file away for my own use:
After learning about the exclusive role played by finely crafted gold and otherwise enhanced Samovars in 18th century Russia, i have come to like the associations of words like Kavovar, Belvour or Bellavore.

I like the ostentatious, "O", like in the end of self-exalted titles like Windsor or much less Tudor.
Tundor, Meldor, Lindor.

Just thinking out loud.

You (or your detective) can buy a moka pot for $10-20 and brew the best espresso over a stove top.