Reference for Avodah Zarah 1:9

אַף בִּמְקוֹם שֶׁאָמְרוּ לְהַשְׂכִּיר, לֹא לְבֵית דִּירָה אָמְרוּ, מִפְּנֵי שֶׁהוּא מַכְנִיס לְתוֹכוֹ עֲבוֹדָה זָרָה, שֶׁנֶּאֱמַר (דברים ז) וְלֹא תָבִיא תוֹעֵבָה אֶל בֵּיתֶךָ. וּבְכָל מָקוֹם לֹא יַשְׂכִּיר לוֹ אֶת הַמֶּרְחָץ, מִפְּנֵי שֶׁהוּא נִקְרָא עַל שְׁמוֹ:

Even in a place where they permitted renting, [(according to R. Meir, in Suria alone and not in Eretz Yisrael; and, according to R. Yossi, even in Eretz Yisrael)], they did so, not for dwelling, [(but only to store there straw, wood, and the like)] because he (the idolator) brings idolatry into it (his house), it being written (Deuteronomy 3:27): "You shall not bring idolatry into your house." And in any place, he may not rent him his bath house, for it is called by his (the Jew's) name, [and the gentile heats it on Shabbath, and people will come to say: "This Jew's bath house is open on Shabbath." This is not comparable to the instance of a Jew's field which a gentile lessee (aris) works on Shabbath. For a field is made for leasing and the gentile does his own work (and not that of the Jew). But a bath house is not made for leasing and not everyone knows that a Jew rented it to the gentile. For this reason it is forbidden. And in our days, when it is common to lease a bath house for a year, a half-year, a third, or a quarter, as a field (is leased), it is permitted to rent a bath house to a gentile. And even though the gentile works there on Shabbath, people know that the gentile is a leaseholder there and that he is doing his own work.]

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