Question: The Jewish Museum of Turkey and Kalenderhane Mosque were both the product of what empire?

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Moroccan Jewish Museum: The Moroccan Jewish Museum, or El Mellah Museum, is a Jewish museum in Casablanca, Morocco.  Established in 1997, it is the only museum devoted to Judaism in the Arab world.  The museum was renovated in 2013.

Jewish Museum, Berlin: The first Jewish Museum in Berlin was founded on the 24th of January 1933, six days before the Nazis officially gained power, and was built next to the Neue Synagoge on Oranienburger Straße.  In addition to curating Jewish history, it also featured collections of Jewish art.  The current Jewish Museum Berlin ("Jüdisches Museum Berlin") was opened in 2001 and is one of the largest Jewish Museums in Europe.  In three buildings, two of which are new additions specifically built for the museum by architect Daniel Libeskind, two millennia of German-Jewish history are on display in the permanent exhibition as well as in various changing exhibitions.  German-Jewish history is documented in the collections, the library and the archive, in the computer terminals at the museum's Rafael Roth Learning Center, and is reflected in the museum's program of events.  The museum is one of Berlin’s most frequented museums (almost 720,000 visitors in 2012).

Jewish Museum Milwaukee: Jewish Museum Milwaukee is located in Milwaukee, Wisconsin, USA.  The Jewish Museum Milwaukee's mission is to preserve and present the Jewish experience through the lens of Greater Milwaukee, and to celebrate the continuum of Jewish heritage and culture.  The archives, exhibitions, programs and publications inspire public appreciation for the diversity of Jewish life in a local and global historic context.

Daniel Libeskind: Daniel Libeskind (born May 12, 1946) is a Polish-American architect, artist, professor and set designer of Polish Jewish descent.  Libeskind founded Studio Daniel Libeskind in 1989 with his wife, Nina, and is its principal design architect.  His buildings include the Jewish Museum in Berlin, Germany, the extension to the Denver Art Museum in the United States, the Grand Canal Theatre in Dublin, the Imperial War Museum North in Greater Manchester, England, the Michael Lee-Chin Crystal at the Royal Ontario Museum in Toronto, Ontario, Canada, the Felix Nussbaum Haus in Osnabrück, Germany, the Danish Jewish Museum in Copenhagen, Denmark, and the Wohl Centre at the Bar-Ilan University in Ramat-Gan, Israel.  His portfolio also includes several residential projects.  Libeskind's work has been exhibited in major museums and galleries around the world, including the Museum of Modern Art, the Bauhaus Archives, the Art Institute of Chicago, and the Centre Pompidou.  On February 27, 2003, Libeskind won the competition to be the master plan architect for the reconstruction of the World Trade Center site in Lower Manhattan.

Jewish Museum and Tolerance Center: The Jewish Museum and Tolerance Center opened in Moscow in November 2012 and is thought to be the largest Jewish museum in the world.  Construction of the museum is estimated to have cost $50 million.  Vladimir Putin personally donated one month of his salary towards the construction of the museum.

Sydney Jewish Museum: The Sydney Jewish Museum is a museum in Sydney, Australia, which documents the Holocaust and the history of the Jewish people in Australia.  The museum is located at 148 Darlinghurst Road, Darlinghurst, and is housed in the historic Maccabean Hall built to commemorate Jewish men and women from New South Wales who served in World War I.  This New South Wales Jewish War Memorial, formally opened by Sir John Monash on Armistice Day 1923, has long been a hub of Jewish life in Sydney and was judged an appropriate site for the Sydney Jewish Museum.

Jewish Museum of Turkey: Jewish Museum of Turkey (officially "Quincentennial Foundation Museum of Turkish Jews"; Turkish: "500.  Yıl Vakfı Türk Musevileri Müzesi" ) is a cultural center established by the Quincentennial Foundation to inform the society of the traditions and history of Turkish Jewry.  It was inaugurated on November 25, 2001.  The Quincentennial Foundation was established in 1989 by 113 Turkish citizens, Jews and Muslims alike, to celebrate the five hundredth anniversary of the arrival of Sephardim to the Ottoman Empire.  The idea of a museum was proposed by Naim Güleryüz who is now its curator and the foundation was financed by the prominent Jewish Kamhi family.

Jewish Museum (Manhattan): The Jewish Museum is an art museum and repository of cultural artifacts, housed at 1109 Fifth Avenue, in the former Felix M. Warburg House, along the Museum Mile in the Upper East Side of Manhattan, New York City.  The first Jewish museum in the United States, as well as the oldest existing Jewish museum in the world, it contains the largest collection of art and Jewish culture excluding Israeli museums, more than 30,000 objects.  While its collection was established in 1904 at the Jewish Theological Seminary of America, the museum did not open to the public until 1947 when Felix Warburg's widow sold the property to the Seminary.  It focuses both on artifacts of Jewish history and on modern and contemporary art.  Its permanent exhibition, "Culture and Continuity: The Jewish Journey", is supplemented by multiple temporary exhibitions each year.

Kalenderhane Mosque: Kalenderhane Mosque (Turkish: "Kalenderhane Camii" ) is a former Eastern Orthodox church in Istanbul, converted into a mosque by the Ottomans.  With high probability the church was originally dedicated to the Theotokos Kyriotissa.  The building is sometimes referred to as Kalender Haneh Jamissi and St. Mary Diaconissa.  This building represents one among the few extant examples of a Byzantine church with domed Greek cross plan.

Milwaukee Jewish Film Festival: The Milwaukee Jewish Film Festival is an annual, publicly-attended film festival hosted by the Jewish Museum Milwaukee and held in Milwaukee, Wisconsin.  The multi-day festival celebrates local, national and international Jewish films and filmmaking.  Established in 1999, the film festival is held each year in October at the Jewish Museum Milwaukee's East Side location.

Supporting paragraphs: Jewish Museum of Turkey Kalenderhane Mosque
Answer: Ottoman Empire